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Class 12 Ts Grewal 2026 (Volume-3)

4. Accounting Ratios

  • April 6, 2026
  • Com 0

 

Current ratio and quick ratio

  1. Calculation current ratio from the following information:
Particulars ₹ Particulars ₹
Total assets Fixed tangibles assets

Shareholder’s funds

20,00,00010,00,000

12,80,000

Non-current liabilities Non-current Investments 5,20,0006,00,000

 

Solution:-

Current assets = total assets – fixed tangible assets – noncurrent investment

= 200000 – 100000 – 60000

= 400000

Calculation of current liabilities

Current liabilities = total assets – share holder’s fund – noncurrent liabilities

= 200000-1280000-520000

= 200000

Calculation of current ratio = current assets / Current liabilities

Current ratio = 400000 / 200000
= 2:1

 

  1. Calculate Current Ratio from the following information:
Particulars ₹ Particulars ₹
Equity Share CapitalInventories

Trade Receivables

Advance Tax

8,00,0001,00,000

1,20,000

24,000

Cash & Cash EquivalentsTrade Payables

Sort-term Borrowings (Bank Overdraft)

10% Investments

56,00060,000

40,000 

80,000

 

Solution-

Current ratio = current assets / Current liabilities

Current assets = trade receivable + inventories+ advance tax+ cash and cash equivalent

= 1,20,000 + 100,000 + 24000 + 56000

= 300,000

Current liabilities = trade payable + short term borrowing

= 60,000 + 40,000

= 100,000

Current Ratio       = 3 : 1.

  1. Current Assets are Rs.7,50,000 and Working Capital is Rs.2,50,000 Calculation Current Ratio.

Solution –

Current ratio= current assets / Current liabilities

Working Capital = Current Assets – Current Liabilities

Current Liability = Current Assets – Working Capital

= 7,50,000 – 2,50,000

= 5,00,000

Current ratio = current assets / Current liabilities

                     = 7,50,000 / 5,00,000

= 1.5

  

  1. A company had current Assets of 4,50,000 and current liabilities of 2,00,000. Afterwards it purchased goods for 30,000 on credit. Calculate current Ratio after the purchase.

Solution:

Calculation of Current Assets & Current Liabilities After Purchase

Current Assets After purchase = Current Assets + Stock

= 4,50,000 + 30,000

= 4,80,000

Current liabilities After purchase = Current liabilities + Creditors

= 2,00,000 + 30,000

= 2,30,000

Calculation of Current Ratio After purchase

= Current Assets After purchase  / Current liabilities After purchase

= 4,80,000 / 2,30,000

= 2.09:1

  1. Current liabilities of a company were 1,75,000 and its current Ratio was 2:1. It paid 30,000 to a creditor, calculate Ratio after payment.

Solution:

Calculation of current Assets before payment

Current liabilities = 1,75,000

Current Ratio = 2:1

Current ratio = Current Assets / Current Liabilities

2                = Current Assets / 1,75,000

Current Assets = 1,75,000 x 2

= 3,50,000

Calculation of current Assets offer payment

Current Assets = 3,50,000 – 30,000 = 3,20,000

Current liabilities = 1,75,000 – 30,000 = 1,45,000

New  current Ratio = 3,20,000

After payment            1,45,000

2.21:1

6. Current Ratio is 2.5, working capital is 1,50,000. Calculate the amount of current Assets and Current Liabilities.

Solution:

Current Ratio = 2.5

Current ration =  Current Assets / Current Liabilities

2.5  = Current Assets / Current Liabilities

C.A. = 2.5 C.L ————————1

Working capital = Current Assets – current Liabilities

150000            =          C.A  – C.L.

C.A – C.L.                     =          1,50,000—————————-2

Putting Eq (1) into Eq (2)

1,50,000          =          2.5 C.L – C.L

1.5 C.L             =          1,50,000

C.L                   = 1,50,000 / 1.5 C.L

Current liabilities = 1,00,000

Putting C.L value in Eq (1)

Current Assets = 2.5 x 1,00,000

=  2,50,000

7. Working capital 6,00,000, Total Debt 27,00,000, Non-Current Liabilities 24,00,000. Calculate Current Ratio.

Solution:

Calculation of Current Liabilities

Total Debt = Non-current liabilities + Current Liabilities

27,00,000 = 24,00,000 + Current Liabilities

Current Liabilities = 27,00,000 – 24,00,000

= 3,00,000

Calculate of current Assets

Working capital = Current Assets – Current Liabilities

6,00,000 =  Current Assets – 3,00,000

Current Assets             =       6,00,000 + 3,00,000

=        9,00,000

Calculation of Current Ratio

Current ration = Current Assets / Current Liabilities

= 9,00,000 / 3,00,000

= 3:1

8. Working capital is 18,00,000; trade payables 1,80,000; and other current liabilities are 4,200,000. Calculate Current Ratio.

Solution:

Calculation of current liabilities

Current liabilities = Trade payable + other current liabilities

= 1,80,000 + 4,20,000

= 6,00,000

Calculation of current Assets

Working capital = Current Assets – Current Liabilities

1,80,000 = Current Assets – 6,00,000

Current Asses = 24,00,000

Calculation of Current Ratio

Current ration = Current Assets / Current Liabilities

= 24,00,000 / 6,00,000

= 4:1

9. Working capital 9,00,000; total debts (Liabilities) 19,50,000; Long-term Debts 15,00,000. Calculate Current Ratio.

Solution:

Calculation of Current Liabilities

Total debts       = Non-Current liabilities + Current liabilities

19,50,000        =  15,00,000 + Current liabilities

Current liabilities         = 19,50,000 – 15,00,000

= 4,50,000

Calculation of Current Assets

Working capital   = Current Assets – Current liabilities

9,00,000  = Current Assets – 4,50,000

Current assets     = 9,00,000 + 4,50,000

= 13,50,000

Calculation of Current Ratio

Current ration = Current Assets / Current Liabilities

= 13,50,000 / 4,50,000

= 3:1

10. Trade payables 50,000, Working capital 9,00,000, current liabilities 3,00,000. Calculate Current Ratio.

Solution:

Calculation of current Assets

Working capital = Current Assets – Current Liabilities

9,00,000  = Current Assets – 3,00,000

Current Assets    = 9,00,000 + 3,00,000

= 12,00,000

Calculation of Current Ratio

Current ration = Current Assets / Current Liabilities

= 12,00,000 / 3,00,000

= 4:1

11. Current Assets 20,00,000, inventories 10,00,000, working capital 12,00,000. Calculate current ratio.

Solution:

Calculation of current liabilities

Working capital    = Current Assets – Current Liabilities

12,00,000  = 20,00,000 – Current liabilities

Current liabilities  = 20,00,000 – 12,00,000

= 80,00,000

Calculation of current Ratio

Current ration = Current Assets / current Liabilities

=  20,00,000 / 80,00,000

= 2.5:1

12. Ratio of current (3,00,000) to current liabilities (2,00,00) is 1.5:1. The accountant of the firm is interested in maintaining a current Ratio of 2:1 by paying off a part of the current liabilities. Compute amount of the current liabilities that should be paid so that the current Ratio at the level of 2:1 may be maintained.

Solution:

Current Assets       = 3,00,000

Current liabilities  = 2,00,000

The accountant of the firm wants to maintain current ratio as 2:1

Let the current liabilities paid off be X

2 = 300000 – X

200000 – X

2(200000 – x) = 300000 – x

400000 – 2x = 300000 – x

X = 1,00,000

These, the liabilities to be paid off = 100000

 

13. Ratio of current assets (8,75,000) to current liabilities (3,50,000) is 2.5 : 1. The firm wants to maintain current Ratio of 2:1 by purchasing goods on credit. Compute amount of goods that should be purchased on credit.

Solution:

Current Assets = 8,75,000

Current liabilities = 3,50,000

The accountant of the firm wants to maintain current ratio as 2:1

Let the goods purchased on credit be X

It would increase stock & creditors at the same time

As per the question:

2 = 8,75,000 + x / 3,50,000 + x

2 (3,50,000 + x) = 8,75,000 + x

7,00,000 + 2x     = 8,75,000 + x

X                        = 1,75,000

Thus good purchased on credit would be 1,75,000

14. A firm had current Assets of 5,00,000. It paid current liabilities of 1,00,000 and the current Ratio became 2:1. Determine current liabilities and working capital before and after the payment was made.

Solution:

Calculation of current Assets & Current liabilities before payment

Current Assets = 5,00,000

As per the question

Current Ratio  = Current Assets / Current Liabilities

2 =  5,00,000 – 1,00,000 / current Liabilities – 1,00,000

2(C.L – 1,00,000) = 4,00,000

2 C.L – 2,00,000 = 4,00,000

= 2 C.L = 6,00,000

= Current liabilities = 3,00,000

Calculation of working capital before payment

= current Assets before payment = 5,00,000

= current liabilities before payment = 3,00,000

Working capital = current Assets – current liabilities

= 5,00,000 – 3,00,000

= 2,00,000

Calculation of working capital offer payment

C.A after payment = 5,00,000 – 1,00,000 = 4,00,000

C.L offer payment = 3,00,000 – 1,00,000 = 2,00,000

Working capital after payment = 4,00,000 – 2,00,000

=  2,00,000

15. A firm had current liabilities of 5,40,000. It purchased stock of 60,000 on credit. After the purchase of stock. Current ratio was 2 : 1. Calculate current Assets and working capital after and before the stock was purchased.

Solution:

Current liabilities                    = 5,40,000

Stock purchased                      = 60,000

Current liabilities after           = 5,40,000 + creditors of stock

= 5,40,000 + 60,000

= 6,00,000

Current ratio after stock Purchased = Current assets + Stock / Current liabilities after stock purchased on credit

2 = Current assets + 60,000/ 60,000

Current Assets before stock purchased = 12,00,000 – 60,000 = 11,40,000

Current Assets after stock                  =          Current Assets before stock

Purchased                                           purchased + stock

= 11,40,000 + 60,000 = 12,00,000

Working capital before purchase = current Assets After purchased  – current liabilities After purchased

= 12,00,000 – 6,00,000

= 6,00,000

16. State, giving reason, whether the current Ratio will improve of decline or will have no effect in each of the following transaction if current Ratio is 2:1:

  1. Cash paid to Trade payables.
  2. Bills payable discharged.
  3. Bills receivable endorsed to a creditor.
  4. Payment of final dividend already declared.
  5. Purchase of stock-in-Trade on credit.
  6. Bills receivable endorsed to a creditor dishonored.
  7. Purchase of stock-in-Trade for cash.
  8. Sale of Fixed Assets (Book value of 50,000) for 45,000
  9. Sale of fixed assets (Book value of 50,000) for 60,000.

Solution-

  1. Improve;
  2. Improve;
  3. Improve;
  4. Improve;
  5. Decline;
  6. Decline;
  7. No Effect;
  8. Improve;
  9. Improve;’

17. From the following information, calculate liquid Ratio:

Particulars ₹ Particulars ₹
Current Assets InventoriesPrepaid Expenses 4,00,0001,00,000

20,000

Trade ReceivablesCurrent Liabilities 2,00,0001,40,000

 

Solution:

Liquid Assets = Current Assets – Inventories– Prepare Expenses

= 4,00,000 – 1,00,000 – 20,000

= 2,80,000

Current liabilities = 1,40,000

Liquid Ratio = Liquid Assets / Current liabilities

= 2,80,000 / 1,40,000

= 2:1

18. From the following information, calculate Quick Ratio:

Total Debt                                          12,00,000

Total Assets                                       16,00,000

Property, plant and

Equipment (Fixed Assets)                   6,00,000

Non-Current investments                   1,00,000

Long- term Borrowings                     4,00,000

Long-term provisions                        4,00,000

Long-term Loans & Advances           1,00,000

Inventories                                         1,90,000

Prepaid Expenses                               10,000

Solution:

Current Liabilities = Total Debt – Long-term Borrowings

= 1,20,000 – 4,00,000 – 4,00,000

= 4,00,000

Current = Total Assets – Property, Plant & Equipment  – Non Current investment   – Long term Loans & advance

= 16,00,000 – 6,00,000 – 1,00,000 – 1,00,000

= 8,00,000

Quick Assets = Current Assets – prepaid Expenses – Inventories

= 8,00,000 – 10,000 – 1,90,000

= 6,00,000

Quick Ratio = 6,00,000 / 4,00,000

= 1.5:1

 

19. Current Assets 6,00,000; Inventories 1,20,000; working capital 5,04,000. Calculate Quick Ratio.

Solution:

Quick Assets = Current Assets – Inventories

= 6,00,000 – 1,20,000

= 4,80,000

Working Capital = Current Assets – Current Liabilities

5,04,000 =  6,00,000 – Current Liabilities

Current liabilities = 96,000

Quick Ratio = current assets / current liabilities

= 4,80,000 / 96,000

= 5:1

20. Quick Assets 3,00,000; Inventory (Stock) 80,000; prepaid Expenses 20,000; Working capital 2,40,000. Calculate Current Ratio.

Solution:

Quick Assets = C.A + Inventories + Prepaid Expenses

3,00,000 + 80,000 + 2,000

Current Assets = 4,00,000

Working Capital = Current Assets – Current Liabilities

2,40,00 = 4,00,000 – Current Liabilities

Current Liabilities = 4,00,000 – 2,40,000

= 1,60,000

Current Ratio =  current assets / current liabilities

= 4,00,000 / 1,60,000

= 2.5:1

21. Current Liabilities of a company are 15,00,000. Its Current Ratio is 3:1 and Liquid Ratio is 1:1. Calculate value of Inventory.

Solution:

Calculation of Current Assets

Current Liabilities = 15,00,000

Current Ratio = 3:1

Current Ratio = current assets / current liabilities

3          = current assets / current liabilities

C.A = 3 C.L ————(1)

C.A = 3 x 15,00,000

= 45,00,000

Calculation of Inventors

Liquid  Ratio =   Quick assets / current liabilities

Liquid  Ratio = Current assets – inventories / current liabilities

1      = current assets – inventories / 6,00,000

C.A – Inventories = 15,00,000

45,00,000 – Inventories = 15,00,000

Inventories = 30,00,000

22. Xolo Ltd’s liquidity Ratio is 2.5; 1. Inventory is 6,00,000. Current Ratio is 4 : 1. Find out the current liabilities.

Solution:

Current Ratio  =     current assets / current liabilities

4          =     current assets / current liabilities

C.A       =          4 C.L ——-(1)

Quick Ratio  = Quick assets / current liabilities

2.5    = C.A – Inventories / C.L

2.5     = C.A – 6,00,000 / C.L

From (1) & (2) Equation

2.5 C.L             =          4 C.L – 6,00,000

1.5 C.L             =          6,00,000

C.L                   =         6,00,000 / 1.5

C.L                   =          4,00,000

 

23. Umesh Ltd. has current Ratio of 4.5:1 and a Quick Ratio of 3:1. If its inventory is 36,000. find out its total Current Assets and total Current liabilities.

            Current Ratio = Liquid  Ratio =   C.A / C.L

4.5                =       C.A / C.L

4.5 C.L = C.A ———————–(1)

Quick Ratio =  Quick assets / Current liabilities

= C.A – Inventories / C.L

3          =  C.A – 36,000 / C.L    —————-(2)

From (1) & (2) Equation

3 C.L = 4.5 C.L – 36,000

1.5 C.L = 36,000

Current Liabilities =  36,000 / 1.5

= 24,000

Putting C.L value in (1)  Equation

4.5 C.L = C.A

C.A = 4.5 x 24,000

C.A = 10,8000

quick Assets = C.A Inventories

= 10,800 – 36,000

= 7,200

 

24. Current Ratio 4; Liquid Ratio 2.5; Inventory 6,00,000. Calculate Liabilities, Current Assets and Liquid Assets.

Solution:

Current Ratio =  Current Assets / Current Liabilities

4                      = C.A / C.L

4  C.L   = C.A ——-(1)

Quick Ratio =  Quick Assets / Current Liabilities

2.5       = C.A – Inventories / C.L

2.5   = C.A – 6,00,000 / C.L

2.5 C.L = C.A – 6,00,000 —————(2)

From (1) & (2) Equation

2.5 C.L = 4 C.L – 6,00,000

Form (1) & (2) Equation

2.5 C.L = 4 C.L – 6,00,000

1.5 C.L = 6,00,000

C.L = 6,00,000 / 1.5

Current Liabilities = 4,00,000

Putting C.L in Equation —————(1)

4 C.L    =          C.A

C.A       = 4 X 4,00,000

= 16,00,000

Quick Assets = C.A – Investment

=  16,00,000 – 6,00,000

=       1o,00,000

 

25. Current Liabilities of a company are 1,50,000. Its Current Ratio is 3:1 and Acid Test Ratio (Liquid Ratio0 is 1:1. Calculate values of Current Assets, Liquid Assets and inventory.

Solution:

            Current Ratio  = Current Assets / Current Liabilities

3          =      C.A / C.L

3 C.L    =          C.A——–(1)

C.A       =          3 x 1,50,000

Current Assets = 4,50,000

Quick Ratio  =  Quick Assets / Current Liabilities

1  = Quick Assets/1,50,000

Quick Assets = 1,50,000

Quick Assets = C.A – Inventories

1,50,000  =  4,50,000 – inventories

Inventories =   3,00,000

26. Current Assets of a company are 5,00,000. Its Current Ratio is 2.5 : 1 and Quick Ratio is 1 : 1. Calculate values of Current Liabilities, Liquid Assets and inventory.

Solution:

                        Current Ratio  =  Current assets / current liabilities

2.5       =      C.A / C.L

2.5 C.L =          C.A ——-(1)

C.L                   =  5,00,000 / 2.5

Current Liabilities = 2,00,000

Quick Ratio = Quick assets / Current liabilities

Quick Assets = 2,00,000

Quick Assets = Current Assets – Inventories

2,00,000        =   5,00,000 – Inventories

Inventories    =   5,00,000 – 2,00,000

= 3,00,000

27. Working Capital of a company is 3,60,000; Total Debts 7,80,000; Long-term Debts 6,00,000; Inventories 1,80,000. Calculate Liquid Ratio.

Solution:

Working capital = Current Assets – Current Liabilities

3,60,000          =          C.A       –           C.L                   ————–(1)

Total Debts      =          Non Current Liabilities + Current Liabilities

7,80,000          =          6,00,000 + C.L

Current Liabilities       =          1,80,000

Putting C.L value in Equation ——(1)

3,60,000          =          C.A       – 1,80,000

Current Assets             =          5,40,000

Quick Assets               =          Current Assets – Inventories

=          5,40,000 – 1,80,000

Quick Assets    =          3,60,000

Liquid Ratio     =    Quick assets / current liabilities

=    3,60,000 / 1,80,000

=          2:1

28. Calculate Quick Ratio from the following:

            Working Capital 4,00,000; Total Debts 18,00,000; Non-Current   16,00,000; Inventories 1,90,000; prepaid Expenses 10,000.     

Solution:

Quick Ratio     =    Quick assets / current liabilities

=    4,00,000 / 2,00,000

=          2:1

Working Note:

Total Debts = Non Current Liabilities + Current Liabilities

18,00,000   = 16,00,000 + Current Liabilities

Current Liabilities =  18,00,000 – 16,00,000

=  2,00,000

Working Capital = Current Assets – Current Liabilities

4,00,000 = Current Assets – 2,00,000

Current Assets =          6,00,000

Quick Assets = Current Assets  – Inventories – prepaid expenses

=          6,00,000 – 1,90,000 – 10,000

=          4,00,000

 

29. Quick Ratio of a company is 2 : 1. State, giving reasons, which of the following transactions would

I. Improve

II. Reduce

III. Not change the Quick Ratio;

  1. Purchase of goods for cash
  2. Purchase of goods on credit
  3. Sale of goods (Costing 20,000) for 20,000;
  4. Sale of goods (costing 20,000) for 22,000;
  5. Cash received from Trade Receivables.

Solution-

  1. Reduce;
  2. Reduce;
  3. Improve;
  4. Improve;
  5. No Change. 

30. Quick Ratio of Z Ltd. is 1 : 1. state, with reason, which of the following transactions would

I. Increase

II. Decrease or

III. Not change the ratio:

  1. included in the trade payables was bill payable of 3,000 which was met on maturity;
  2. Debentures of 50,000 were converted into equity shares.

Solution-

  1. No change
  2. increase.

31. The Quick Ratio of a company is 0.8 : 1. State, with reason, whether the following transactions will increase, decrease or not change the Quick Ratio:

  • purchase of loose tools for 2,000;
  • Insurance premium paid in advance 500;
  • sale of goods on credit 3,000;
  • Honored a bills payable of 5,000 on maturity.

Solution-

  • Decrease;
  • Decrease;
  • Increase;
  • Decrease;

32. Capital Employed 20,00,000; Fixed Assets 14,00,000; Current Liabilities 2,00,000. There are no Long-term Investments. Calculate Current Ratio.

Solution:

Total Assets = Capital Employed + Current Liabilities

=          20,00,000 + 2,00,000

=          22,00,000

Total Assets     =          fixed Assets + Current Assets

22,00,000        =          14,00,000 +  Current Assets

Current Assets =          8,00,000

Current Ratio    =       Current Assets / Current liabilities

=  8,00,000 / 2,00,000

=          4 : 1

33. Venus Ltd.’s Inventory is 3,00,000. Total Liquid Assets are 12,00,000 and Quick Ratio is 2 :1. Work out Current Ratio.

Solution:

Quick Ratio     =    liquid assets / Current Liabilities

2          =    12,00,000 / Current liabilities

Current Liabilities =    6,00,000

Current Assets             =          Liquid Assets + Inventory

=          12,00,000 + 3,00,000

=          15,00,000

Current Ratio              = Current assets / Current liabilities

=  15,00,000 / 6,00,000

=          2.5:1

 

34. Total Assets 11,00,000; Fixed Assets 5,00,000; Capital Employed 10,00,00. There were no Long-term Investments. Calculate Current Ratio.

Solution:

Total Assets = Non-Current Assets + non Current Investment + Current Assets

11,00,000        =          5,00,000 + 0 + Current Assets

Current Assets =          6,00,000

= Total Assets   =          Capital Employed + Current Liabilities

11,00,000        =          10,00,000 + Current Liabilities

= Current Liabilities =   1,00,000

Current Ratio    =  Current assets / Current liabilities

=    6,00,000 / 1,00,000

=          6:1

 

35. From the following calculate: (i) Current Ratio (ii) Quick Ratio:

Total Debt                                                    12,00,000

Total Assets                                                  16,00,000

property, plat and Equipment                       6,00,000

Non-Current Investment                               1,00,000

Long-term Loans and Advances                  1,00,000

Long-term Borrowings                                   4,00,000

Long-term provisions                                      4,00,000

Inventories                                                        1,90,000

Prepaid Expenses                                               10,000

Solution:

Total Debt = Long term Borrowings + Long Term provision + Current Liabilities

12,00,00          =          4,00,000 + 4,00,000    + Current Liabilities

Current Liabilities       =          4,00,000

Total Assets = Fixed Assets + Non current investments + Long term loans & Advances + Current Assets

16,00,000 = 6,00,000 + 1,00,000 + 1,00,000 + Current Assets

Current Assets =          8,00,000

Current Ratio =  Current assets / Current liabilities

=  8,00,000 / 2,00,000

=          2: 1

Quick Assets = Current Assets – Inventories – Prepaid expenses

= 8,00,000 – 1,90,000 – 10,000

=          6,00,000

Quick Ratio     = Quick assets / Current liabilities

Quick Ratio     =  6,00,000 / 4,00,000

=    1. 5 : 1

36. Following is the Balance Sheet of Crescent Chemical Works Limited as at 31st March, 2026:

Particulars Note No.  
I. EQUITY AND LIABILITIES     1. Shareholders’ Funds        (a) Share capital        (b) Reserve and surplus      2. Non-Current Liabilities          Long-term Borrowings  

   3. Current Liabilities

      (a) Short-term Borrowings

      (b) Trade payables (Creditors)

      (c) Short-term provisions: for Tax

 

Total

 

II. ASSETS

    1. Non-current Assets

    (a) property, plant and equipment and     intangible Assets; Plant and Equipment

    (b) Non-current Investments

 

   2. Current Assets

    (a) Inventories (Stock)

    (b) Trade Receivables (Debtors)

    (c) Cash and Cash Equivalents

Total

    7,00,0003,50,000  2,50,000 

 

30,000

1,30,000

40,000

 

15,00,000

 

 

4,50,000

 

50,000

 

 

 

5,00,000

3,00,000

2,00,000

15,00,000

Solution –

Current Assets = Inventories + Debtors + Cash & Cash Equivalents

= 500,000 + 300,000 + 200,000

=          10,00,000

Current Liabilities = Short term Borrowings + Trade payable + Short term provision

=          30,000 + 130,000 + 40,000

=          200,000

Current Ratio =   current assets / Current liabilities

=     10,00,000 / 2,00,000

=          5: 1

Liquid Assets   =          Current Assets             –           Inventories

=          10,00,000        –           500,000

=          500,000

Liquid Ratio     = Liquid assets / current assets

=  5,00,000 / 2,00,000

=          2.5: 1

 

DEBT TO EQUITY RATIO

37. Total Assets 2,60,000; Total Debts 1,80,000; Current Liabilities 20,000. Calculate Debt to equity Ratio.

Solution:

Total Debt = Long term Debts + Current Liabilities

1,80,000 = long term debts + 20,000

Long term debts = 1,60,000

Total Assets = Shareholder’s funds + Total debts

2,60,000 = shareholder’s funds + 1,80,000

Shareholders funds (Equity)    =          80,000

Debts to Equity Ratio = Debt / Equity

= 1,60,000 / 80,000

= 2 : 1

38. Calculate Debt to Equity Ratio: Equity share capital 5,00,000; General Reserve 90,000; Accumulated profits 50,000; 10% Debentures 1,30,000; Current Liabilities 1,00,000.

Solution:        

Shareholders’ funds = equity share capital + general reserve + Accumulated profits

= 5,00,000 + 90,000 + 50,000

= 6,40,000

Debt    =          10% Debentures

1,30,000

Debt to Equity ratio = Debt / Equity

= 1,30,000 / 6,40,000

Debt to Equity Ratio    =  0.203

 

39. From the following information, calculate debt to equity ratio:

            20,000 Equity shares of 10 each fully paid                          2,00,000         

            10,000, 9% preference shares of 10 each fully paid           1,00,000

            General Reserve                                                                      90,000

            Surplus, i.e., Balance in Statement of profit & Loss           40,000

            10% Debentures                                                                      1,50,000

            Current Liabilities                                                                    1,00,000

Solution:

Shareholder’s Funds = Equity share + preference share + General reserve + surplus, i.e. Balance in statement of profit & loss

= 2,00,000 + 1,00,000 + 90,000 + 40,000

Shareholder’s funds = 4,30,000

Debts = 10% 1,50,000

=          1,50,000

Debt to Equity Ratio = Debt / Equity

=  1,50,000 /  4,30,000

= 0.348

= 0.35

40. From the following information, calculate Debt to equity share ratio: Total Debts 6,00,000; current liabilities 2,00,000 and capital employed 6,00,000.

Solution:

Total Debts = Non-Current liabilities + Current liabilities

6,00,000 = Non-current liabilities + 2,00,000

Non-current liabilities (debt) = 4,00,000

capital employed = equity + non-current liabilities

6,00,000 = equity + 4,00,000

Equity = 2,00,000

Debt to Equity ratio = Debt / Equity

= 4,00,000 / 2,00,000

= 2:1

41. Calculate Debt to Equity Ratio: Total Assets 14,00,000; Total debt 12,00,000; capital employed 10,00,000.

Solution:

            Equity = Total Assets – Total Debts

=  14,00,000 – 12,00,000

=          2,00,000

Capital Employed = Equity + Debt (Non-Current liabilities)

10,00,000        =  2,00,000 + Debt (Non-current liabilities)

Debt (Non-current liabilities) =          8,00,000

Debt to Equity ratio =  Debt / Equity

=  8,00,000 / 2,00,000

= 4:1

42. Capital Employed 8,00,000; shareholder’s funds 2,00,000. Calculate Debt to Equity Ratio.

Solution:

            Debt = Capital Employed – Share holders funds

=          8,00,000 – 2,00,000

=                      6,00,000

Shareholders’ funds (Equity) = 2,00,000

Debt to Equity ratio =   Debt / Equity

= 6,00,000 / 2,00,000

= 3:1

43. King Ltd has current ratio of 2.5:1. Its working capital is 1,20,000. Total Assets are of 3,80,000 and Total Debt of 2,80,000. Calculate Debt to equity ratio.

Solution:

            Current Ratio = 2.5:1

Current Ratio = Current assets / Current liabilities

2.5            = Current assets / Current liabilities

2.5       C.L       = C.A    ———-(1)

Working capital = Current Assets – Current Liabilities

1,20,00            =          C.A – C,L          ——(2)

putting equation (1) value in equation (2)

1,20,000          =          2.5 C.L – C.L

C.L       =  1,20,000 / 2.5

Current liabilities = 80,000

Debt (Non-current liabilities) = Total Debt – Current liabilities

=          2,80,000 – 80,000

=          2,00,000

Equity (Shareholder’s funds)  =           Total Assets – Total Debts

=          3,80,000 – 2,80,000

=          1,00,000

Debt to Equity ratio = Debt / Equity

=  2,00,000 / 1,00,000

= 2:1

44. Monica Ltd. has Quick Ratio of 1.5 : 1. Its working capital is 1,20,000 and its inventions are of 80,000. Total Assets of 3,80,000 and total debts of 2,80,000. Calculate Debt to equity Ratio.

Solution:

            Quick Ratio = Quick assets / Current liabilities

= Current liabilities – Inventory / current liabilities

1.5             = Current liabilities – 80,000 / current liabilities

1.5 C.L             =          C.A – 80,000

C.A                   =          1.5 C.L + 80,000 ———(1)

Working capital = Current Assets – Current liabilities

1,20,000                      =          C.A -C.L           ————-(2)

Putting C.A Value from Eq (1) into Eq (2)

1,20,000 = 1.5 C.L + 80,000 – C.L

  1. C.L =          40,000

Current Liabilities = 40,000 / 5

= 80,000

Debt (Non-current liabilities) = Total Debt – Current liabilities

= 2,80,000 – 80,000

= 2,00,000

Equity (shareholder’s funds)  =  Total Assets – Total Debt

=     3,80,000 – 2,80,000

=      1,00,000

Debt to Equity ratio = Debt / Equity

=  2,00,000 / 1,00,000

= 2:1

45. When Debt to Equity Ratio is 2, State, giving reason, whether this ratio will increase, decrease or will have no change in each of the following cases;

  1. Sale of land (Book value 4,00,0000 for 5,00,000;
  2. issue of equity share for the purchase of plant and machinery worth 10,00,000;
  3. issue of preference shares for redemption of 13% Debentures, worth 10,00,000.

Solution-

  1. Decrease;
  2. Decrease;
  3. Decrease;

46. Debt to equity ratio of a company is 0.5 : 1. Which of the following would increase, decrease or not change it:

  1. Issue of Equity shares;
  2. Cash received form debtors;
  3. Redemption of debentures
  4. Purchased good on credit?

Solution-

  1. Decrease;
  2. No change;
  3. No change;
  4. No change.

47. Calculate Debt to Equity Ratio from the following information:

            Property, plant and equipment (Gross)                  8,40,000

            Accumulated Depreciation                                       1,40,000

            Non-current investment                                             14,000

            Long-term Loss and Advances                                   56,000

            Current Assets                                                              3,50,000

            Current Liabilities                                                         2,80,000

            10% Long-term Borrowings                                         4,20,000

            Long-term Provisions                                                   1,40,000

Solution:

            Debt = Long-term Borrowings + Long term provisions

=          4,20,000 + 1,40,000

=          5,60,000

Equity = Total Assets – Total Outside Liabilities

Total Assets = (Fixed Assets – Acc. Depreciation) + Non-current Investment + Long-term loans and Advances + Current Assets

= (8,40,000 – 1,40,000) + 14,000 + 56,000 + 3,50,000

=          11,20,000

Total outside liabilities = Non-current liabilities + current Liabilities

= 5,60,000 + 2,80,000 = 8,40,000

Equity = Total Assets – Total outside liabilities

= 11,20,000 – 8,40,000 = 2,80,000

Debt to Equity ratio = Debt / Equity

=   2,00,000 / 1,00,000

= 2:1

48. Assuming that the debt to Equity ratio is 2 : 1, state, giving reasons, which of the following transactions would (i) Increase (ii) Decrease (iii) Not alter Debt to equity Ratio.

  1. Issue of new share for cash.
  2. Conversion of debentures into equity shares.
  3. Sale of fixed assets at profit.
  4. Purchase of a fixed asset on long-term deferred payment basis.
  5. Payment to Creditors.

Solution-

  1. Decrease;
  2. Decrease;
  3. Decrease;
  4. Increase;
  5. No change.

49. Balance Sheet had the following amounts as at 31st March, 2026;

            10% preference share capital                                  5,00,000

            Equity share capital                                                  15,00,000

            Security premium reserve                                        1,00,000

            Reserve and surplus                                                  4,00,000

            long-term loan from IDBI @ 9%                               30,00,000

            Current Assets                                                           12,00,000

            Current Liabilities                                                       8,00,000

            Investment (in other companies)                             2,00,000

            Property, plant and Equipment – cost                      60,00,000

            Depreciation written off                                               14,00,000

            Calculate rations indicating the Long-term and the short-term financial position of the company.

solution:

Current Ratio    = Current assets / current liabilities

= 1,20,000 / 8,00,000

Current Ratio =          1.5:1

Equity = preference share = Equity share + Reserve & Surplus

= 5,00,000 + 15,00,000 + 4,00,000

= 24,00,000

Debt = Long term loan form IDBI @ 9%

=          30,00,000

Debt to Equity ratio = Debt / Equity

=  30,00,000 / 24,00,000

= 1.25:1

 

50. From the following Balance Sheet to ABC Ltd. as at 31st March, 2026, Calculate Debt to Equity Ratio.

Particulars Note No.  
I. EQUITY AND LIABILITIES     1. Shareholders’ Funds        (a) Share capital              (i) Equity share capital(ii) 10% preference share capital       (b) Reserve and surplus     2. Non-Current Liabilities

         Long-term Borrowings (Debentures)

 

   3. Current Liabilities

      (a) Trade payables

(b) Other current liabilities

(c) Short-term provisions: for Tax

 

Total

 

II. ASSETS

    1. Non-current Assets

Property, Plant and Equipment and                    intangible Assets:

(i) property, plant and equipment

(ii) Intangible Assets

 

   2. Current Assets

    (a) Inventories

(b) Trade Receivables

(c) Cash and Cash Equivalents

 

Total

   5,00,0005,00,000     10,00,0002,40,000  

2,50,000

 

 

4,30,000

20,000

3,00,000

 

22,40,000

 

 

 

 

 

6,40,000

1,00,000

 

 

7,50,000

6,40,000

1,10,000

 

22,40,000

Solution:

Debt                =          Long term Borrowings

=          2,50,000

Equity =          Equity share Capital + 10% preference share                                                                                                    capital reserve & Surplus

=          5,00,000 + 5,00,000 + 2,40,000

=          12,40,000

Debt to equity ratio  = Debt / Equity

=   2,50,000 / 12,40,000

= 0.2016:1

=          0.2:1

 

TOTA ASSETS TO DEBT RATIO

51. Calculate total Assets to Debt ratio from the following information:

Long-term Debts 4,00,000; Total Assets 7,70,000.

Solution:

            Total Assets          =          7,70,000

Long-term Debts (Debts) =         4,00,000

Total Assets to Debt Ratio = Total assets / Debt

= 7,70,000 / 4,00,000

=       1.925 : 1

52. Total Debt 6,00,000; Current liabilities 2,00,000; Capital Employed 6,00,000. Calculate Total Assets to Debt Ratio.

Solution:

Total Assets = Capital Employed + Current Liabilities

=          6,00,000 + 2,00,000

=          8,00,000

Total Debt = Non-Current Liabilities + Current Liabilities

6,00,000 = Non-Current Liabilities + 2,00,000

Non-Current Liabilities = 4,00,000

Total Assets to Debt Ratio  =    total asset / Debt

= 8,00,000 / 4,00,000

= 2 : 1

53. Shareholder’s Funds 1,60,000; Total Debts 3,60,000; current Liabilities 40,000.

Calculate Total Assets to Debt Ratio.

Solution:

Total Assets = Shareholder’s Funds + Total Debts

=          1,60,000 + 3,60,000

=          5,20,000

Total Debts = Non-current liabilities + current liabilities

3,60,000 = Non-current liabilities + 40,000

Non-current liabilities (Debt)             =          3,20,000

Total Assets to Debt Ratio    =    Total asset / Debt

=  5,20,000 / 3,20,000

=   1.625 : 1

54. Total Debt 60,00,000; Shareholder’s funds 10,00,000; Reserve and surplus 2,50,000; Current Assets 25,00,000; Working Capital 5,00,000. Calculate Total Assets to Debt Ratio.

Solution:

            Total Assets = Total Debt + Shareholder’s Funds

= 60,00,000 + 10,00,000

= 70,00,000

Working Capital = Current Assets – Current liabilities

5,00,000          =          25,00,000                    –           Current Liabilities

Current Liabilities       =          20,00,000

Total Debt = Non-Current Liabilities + Current Liabilities

60,00,000        =          Non-Current Liabilities + 20,00,000

Non-Current Liabilities = 40,00,000

Total Assets to Debt Ratio  =   Total asset / Debt

=    70,00,000 / 40,00,000

= 1.75 : 1

55. Total Debt 12,00,000; Shareholders funds 2,00,000; Reserve and surplus 50,000; Current Assets 5,00,000; Working capital 1,00,000. Calculate Total Assets to Debt Ratio.

Solution:

            Total Assets + Shareholder’s + Total Debt

= 2,00,000 + 12,00,000

=          14,00,000

Working capital = Current Assets – Current Liabilities

1,00,000      =          5,00,000          –   Current liabilities

Current Liabilities = 4,00,000

Total Debt = Non-Current Liabilities + Current Liabilities

12,00,000 = N.C.L (Debt) + 4,00,000

Non-Current liabilities (Debt)              = 8,00,000

Total Assets to Debt Ratio  =    Total asset / Debt

=  14,00,000 / 8,00,000

= 1.75 : 1

56. From the following information, Calculate ‘Total Assets to Debt Ratio:

Particulars ₹ Particulars ₹
Current assets Current Liabilities10% Debentures 8,00,0005,00,0004,00,000 9% Long-term Bank LoanShareholders’ Funds 1,00,00015,00,000

Solution-

Total Assets to Debts Ratio = Total assets / Debt

Total Debt   = 10% Debenture + 9% Long term bank loan

= 400,000 + 1,00 ,000

= 500,000

Total assets = SHF + Long term borrowing

= 1500,000 + 5,00,000 + 500,000

= 2500,000

Total assets debt Ratio = 25,00,000/ 500,000

= 5: 1

57. Calculate ‘Total Assets to Debt Ratio’ From the following information:

Equity share capital              4,00,000

Long-term Borrowing                       1,80,000

Surplus, i.e., Balance of P & L           1,00,000

General Reserve                                 70,000

Current Liabilities                              30,000

Long-term provisions                        1,20,000

 

Solution:

Debt = Long term borrowings + Long term provisions

=          1,80,000 + 1,20,000

=          3,00,000

Share holder’s funds = Equity share capital + Surplus profit & Loss + General Reserve

=          4,00,000 + 1,00,000 + 70,000

=                      5,70,000

Total Assets     =  Share holder’s funds + Non-Current liabilities (Debt) + Current Liabilities

=  5,70,000 + 3,00,000 + 30,000

=          9,00,000

Total Assets     =  Share holder’s funds + Non-Current liabilities (Debt) + Current Liabilities

=  5,70,000 + 3,00,000 + 30,000

=          9,00,000

Total Assets to Debt Ratio  =   Total assets / Debt

= 9,00,000 / 3,00,000

=   3 : 1

58. From the following information, calculate Total Assets to debt Ratio:

            Property, plant and Equipment (Gross)                  6,00,000

            Non-Current Investment                                          10,000

            Current Assets                                                           2,50,000

            Long term Borrowings                                            3,00,000

            Accumulated Depreciation                                       1,00,000

            Long-term Loans and Advances                               40,000

            Current Liabilities                                                       2,00,000

            Long-term provisions                                                 1,00,000

Solution:

Total Assets = [Fixed Assets (Gross) – Acc. Depreciation] + Non Current investment + Long term loans & advances + Current Assets

= (6,00,000 – 1,00,000) + 10,000 + 40,000 + 2,50,000

= 5,00,000 + 10,000 + 40,000 + 2,50,000

= 8,00,000

Debt = Long term Borrowings + Long term provisions

=          3,00,000 + 1,00,000

=                      4,00,000

Total Assets to Debt Ratio  =   Total assets / Debt

=   8,00,000 / 4,00,000

=   4 : 1

PROPERIETARY RATIO

59. From the following information, calculate proprietary Ratio:

            Share capital              3,00,000

            Non-Current Assets   13,20,000

            Reserve and Surplus 1,80,000

            Current Assets             6,00,000

Solution:

            Total Assets = Non-Current Assets + Current Assets

=          13,20,000 + 6,00,000

=          19,20,000

Share holder’s funds   =  Share capital + Reserve & Surplus

=          3,00,000 – 1,80,000

Share holder’s funds   =  4,80,000

Property Ratio             =     Shareholder’s funds / Total Assets

=  4,80,000 / 19,20,000

=          0.25: 1

60. Calculate proprietary ratio form the following:

Equity share capital                          4,50,000

10% preference share capital           3,20,000

Reserve and surplus                          65,000

Creditors                                              1,10,000

9% Debentures                                     3,00,000

Property, plant and equipment            7,00,000

Trade investment                                  2,45,000

Current Assets                                      3,00,000

Solution:

Share holder’s funds = equity share capital + 10% preference share Capital + reserve & surplus

=          7,00,000 + 2,45,000 + 3,00,000

=          12,45,000

Property Ratio             =      Shareholder’s funds / Total Assets

=   8,35,000 / 12,45,000

=          0.67:1

61. From the following information, calculation proprietary Ratio:

Equity share capital                                     3,00,00

Preference share capital                              1,50,000

Reserves and surplus                                    75,000

Debentures                                                   1,80,000

Trade payables                                              45,000

                                                                        7,50,000

Property, plant and equipment                   3,75,000

Short-term investments                              2,25,000

Other current Assets                                    1,50,000

7,50,000

Solution:

Total Assets = fixed Assets + Short terms investments + others Current

Assets

=          3,75,000 + 2,25,000 + 1,50,000

=          7,50,000

Shareholder’s funds = equity share capital + preference share

Capital + reserves & surplus

=          3,00,000 + 1,50,000 + 75,000

=          5,25,000

Propriety Ratio          =   shareholders fund / total assets

=  5,25,000 / 7,50,000

=   0.70:1

62. Calculate proprietary ratio, if total assets to debt ratio is 2:1. Debt is 5,00,000. Equity shares capital is 0.5 times of debt. Preference share capital is 25% of equity share capital. Net profit before tax is 10,00,000 and rate of tax is 40%.

Solution:

Total Assets to Debt Ratio = 2:1

Debt = 5,00,000

Total Assets to Debt ratio       =    Total assets / Debt

=    Total assets / 5,00,000

Total Assets     =          10,00,000

Equity share capital                =          0.5 x 5,00,000

=          2,50,000

Preference share capital        =          25% of equity share capital

=            x 2,50,000

=          62,500

Net profit before tax               =          10,00,000

Tax ratio                                  =          40%

Profit after tax                                    =          10,00,000 – 40/100 x 10,00,000

=          10,00,000 – 4,00,000

=          6,00,000

Share holder’s funds   = equity share capital + preference share Capital + profit

=          2,50,000 + 62,500 + 6,00,000

=          9,12,500

Property Ratio             =   Shareholder’s funds / total assets

=   9,12,000 / 10,00,000

=  0.9125:1

63. State, with reasons, whether the proprietary ratio will improve, decline or will not change because of the following transactions if proprietary ratio is 0.8:1:

  1. Obtained a loan of 5,00,000 from state bank of India payable after five years.
  2. Purchased machinery of 2,00,000 by cheque.
  3. Redeemed 7% Redeemable preference shares 3,00,000.
  4. Issued equity shares to the vendor of building purchased for 7,00,000.
  5. Redeemed 10% redeemable debentures of 6,00,000.

Solution-

  1. Decline;
  2. No change;
  3. Decline;
  4. Improve;

Calculate of Debt to Equity Ratio, Proprietary Ratio, and Total Assets to Debt Ratio 

64. Form the following information, calculate:

  1. Propriety ratio:
  2. Debt to Equity Ratio; and
  3. Total Assets to Debt Ratio.

Current Assets                            40,00,000

Long-term borrowings              15,00,000

Non-current Assets                     40,00,000

Current Liabilities                        20,00,000

Long-term provisions                 25,0,000

Solutions:

Total Assets = Non-current Assets + Current Assets

=          40,00,000 + 4,00,000

=          80,00,000

Debt                =          long term borrowings + Long term provisions

=          15,00,000        +  25,00,000

=          40,00,000

Total Assets = Equity + Non-Current liabilities + Current Liabilities

8,00,000 = Equity + 40,00,000 + 20,00,000

Equity              =          20,00,000

  1. Property Ratio =   Shareholder’s funds / total assets

=  20,00,000 / 80,00,000

=  0.25:1

  1. Debt to equity Ratio =    Debt / Equity

=   20,00,000 / 40,00,000

=   2:1

  1. Total Assets to Debt Ratio =    Debt / Equity

= 80,00,000 / 40,00,000

=  2:1

65. From the following information, calculate:

  1. Proprietary Ratio:
  2. Debt to Equity Ratio; and
  3. Total Assets to Debt Ratio.

Total Debt                  18,00,000

Capital Employed      15,00,000

Current Assets           7,50,000

Working  capital        1,50,000

Solution:

Working capital = Current Assets – Current Liabilities

15,000 = 7,50,000 – Current Liabilities

Current Liabilities = 6,00,000

Total Debt = Non-Current Liabilities (Debt) + Current Liabilities

18,00,000 = Non-Current Liabilities (Debt) + 6,00,000

Non-Current Liabilities (Debt) = 12,00,000

Shareholder’s funds = capital Employed – non- Current Liabilities

=          15,00,000 – 12,00,000

=          3,00,000

Total Assets = Capital Employed + Current Liabilities

=          15,00,000 +6,00,000

=          21,00,000

Property Ratio            =  Shareholders’ funds / Total assets x 100

=   30,00,000 / 21,00,000 x 100

=          14.29%

Debt to equity Ratio =  Debt / Equity

=  12,00,000 / 3,00,000

=    4:1

Total Assets to Debt Ratio =   total assets / Debt

=  12,00,000 / 3,00,000

=   4:1

Total Assets to Debt Ratio = total assets / Debt

=  21,00,000 / 12,00,000

= 1. 75 : 1

INTEREST COVERAGE RATIO

 

66. If net profit before interest and tax is 10,00,000 and 10% long-term borrowings is 20,00,000, find interest coverage Ratio.

Solution

67. From the following information, calculate interest coverage Ratio: Net profit after Tax 4,25,000; tax 75,000; interest on long-term funds 1,25,000.

Solution:

Net profit before interest and tap = Net profit After tax + tax +Interest

= 4,25,000 + 75,000 + 1,25,000

=          6,25,000

Interest charge Ratio = profit before interest & top / interest on long term loans

=  6,25,000 / 1,25,000

= 5 times

68. From the following information, calculate interest coverage ratio:

Net profit after interest and tax 1,20,000; rate of income tax; 40%; 15% debentures 1,00,000 12% mortgage loan 1,00,000.

Solution:

            Let tax before tax be x

Profit after tax = profit before tax – interest

1,20,000 = x – 40/100 x

x  =  1,20,000

X  =  1,20,000 x 100 / 60

profit before tax = 2,00,000

interest = 15% debentures + 12% mortgage loan

=  15 / 100   x 1,00,000 + 12 / 100 x 1,00,000

= 15,000 + 12,000

=          27,000

Profit before interest and tax = profit before tax + interest

= 2,00,000 + 27,000

=          22,7,000

Interest charge Ratio = profit before interest & top / interest on long term

=   22,7,000 / 27,000

= 8.41 times

69. From the following details, calculate interest coverage Ratio:

Particulars ₹
Profit after taxTax Rate15% DebentureEquity share capital 6,30,00030%20,00,00010,00,000

Solution –

70. From the following information, calculate interest coverage ratio:

10,000 equity shares of 10 each                                                    1,00,000

8% preference shares                                                                     70,000

10% debentures                                                                              50,000

Long-term loans from bank                                                           50,000

Interest on long-term loans from bank                                        5,000

Net profit after tax                                                                         75,000

Tax                                                                                                    9,000

Solution:

Net profit before tax = net profit after tax + tax = interest on long term loan term bank + interest on debentures

= 5,000 + 5,000

Interest                         = 10,000

Interest = 10,000

Interest coverage ratio =  profit before interest & top / interest on long term

= 94,000 / 10,000

= 9.4  times

DEBT TO CAPITAL EMPLOYED RATIO

71. From the following information, calculate Debt to capital employed ratio:

Shareholder’s funds                                                  24,00,000

Long-term borrowings (9% debentures)                 12,00,000

Current liabilities                                                       2,00,000

Non-current Assets                                                   28,00,000

Current Assets                                                           10,00,000

Solution:

Long term Debt = long term borrowings (9% debentures)

= 12,00,000

Capital employed = shareholder’s funds + long term borrowings (9% debentures)

= 24,00,000 + 12,00,000

=          36,00,000

Debt to capital employed ratio =   long term debt / capital employed

= 12,00,000 / 36,00,000

=  0.33:1

72. From the following, calculate ‘Debt to capital Employed Ratio’:

9% Debentures                      2,00,000

8% public Deposits                5,00,000

Long-term provisions            2,00,000

Equity share capital             8,00,000

Reserve and surplus             5,00,000

Solution:

            Long-term Debts = 9% Debentures + long term Provisions 8% Public deposits

=      2,00,000 + 2,00,000 + 5,00,000

=     9,00,000

Capital employed = equity share capital + reserve and surplus + 9% Debentures + long-term provisions + 8% public Deposits

= 8,00,000 + 5,00,000 + 2,00,000 + 2,00,000 + 5,00,000

=          22,00,000

Debt to capital employed ratio =   long term debt / capital employed

=  9,00,000 / 22,00,000

=          0.409:1

=          0.41:1

73. From the following, calculation Debt to capital employed Ratio:

Capital employed                             87,00,000

Investments                                     4,80,000

Machinery                                         14,00,000

Trade receivables                              8,00,000

Cash and cash equivalents                7,20,000

Equity share capital                           45,00,000

8% Debentures                                  36,00,000

Capital reserve                                   6,80,000

Surplus, i.e.,

Solution:

            Long term Debts = 8% Debentures

= 36,00,000

Capital employed = 87,00,000

Debt to capital employed ratio = long term debt / capital employed

= 36,00,000 / 87,00,000

=  0.41:1

74. Calculate debt to capital employed ratio from the following information:

Shareholder’s funds                                                           50,00,000

Non-current liabilities;                                 

Long-term borrowings                      20,00,000

Long-term provisions                        17,50,000                    37,50,000

Non-current Assets:

Property, plant and equipment      

            And intangible Assets           90,00,000

Non-current investment                   12,50,000                    1,02,50,000

Current Assets                                                                       23,75,000

 

Solution:

Long term Debts = Long term Borrowings + long term provisions

= 20,00,000 + 17,50,000

=          37,50,000

Capital employed = shareholder’s funds + long term borrowings + Long terms provisions

=          50,00,000 + 20,00,000 + 17,50,000

Debt to capital employed ratio = long term debt / capital employed

=   37,50,000 / 87,50,000

=          0.4285

=          0.43:1

 

75. Calculation debt to capital employed ratio from the following information:

Total debts 60,00,000; current Assets 25,00,000; non-current Assets 95,00,000; working capital 5,00,000.

 

Solution;

Working capital          =          current Assets – current liabilities

5,00,000                       =          25,00,000 – current liabilities

Current liabilities        =          20,00,000

Long term debts          =          total debts – current liabilities

=          60,00,000 – 20,00,000

=          40,00,000

Capital employed        =          current Assets + non-current Assets – Current liabilities

=          25,00,000 + 95,00,000 – 20,00,000

=          10,00,000

Debt to capital employed ratio =   long term debt / capital employed

= 40,00,000 / 10,00,000

=          0.40:1

76. From the following calculate debt to capital employed Ratio:

10% preference share capital 5,00,000; Equity share capital 15,00,000; securities premium 1,00,000; reserve and surplus 2,00,000; 9% loan from IDBI 30,00,000.

Solution;

            Long term Debt = 9% loan form IDBI

= 30,00,000

Capital employed = 10% preference share capital + Equity share

Capital + reserves & surplus + 9% loan from IDBI

= 5,00,000 + 15,00,000 + 2,00,000 + 30,00,000

=          52,00,000

Debt to capital employed ratio =   long term debt / capital employed

=  30,00,000 / 52,00,000

=    0.58:1

77. Calculate Debt to Capital Employed Ratio form the following information:

Debt to Equity Ratio 2:1; Long term Borrowing Rs.18,00,000; Long term Provision Rs.6,00,000; Reserves and Surplus Rs.2,00,000.

Ans. 0.67 : 1.

78. Debt to capital employed ratio of a company is 0.4:1. State giving reasons, which of the following will improve, reduce not change the ratio?

  1. Sale of machinery at a loss of 50,000.
  2. Purchase of stock-in-trade on credit of two months for 80,000.
  3. Conversion of debentures into equity shares of 5,00,000.
  4. Purchase of fixed assets for 4,00,000 on a long-term deferred payment basis.

Solution:-

  1. Improve;
  2. Not Change,
  3. Reduce,
  4. Improve;

 

 

INVENTORY TURNOVER RATIO

 

79. From the following details, calculate inventory turnover ratio:

Cost of revenue from operations (cost of Goods sold)      9,00,000

Inventory in the beginning of the year                               3,50,000

Inventory at the close of the year                                       2,50,000

Solution:

            Cost of goods sold       = 9,00,000

Average inventory      = Opening inventory + Closing inventory / 2

= 2,50,000 + 3,50,000 / 2

=          3,00,000

Inventory turnover ratio         = cost of good sold / average inventory

= 9,00,000 / 3,00,000

=          3 times

80. Cost of revenue from operations (cost of goods sold) 5,00,000: purchases 5,50,000; opening inventory 1,00,000.

Calculate inventory turnover ratio.

Solution:

Cost of goods sold = opening inventory + purchase – purchased return – closing inventory

5,00,000 = 1,00,000 + 5,50,000 – 0 – closing inventory

Closing inventory = 1,50,000

Cost of goods sold = 5,00,000

Avg. inventory = Opening inventory + Closing inventory / 2

= 1,00,000 + 1,50,000 / 2

=          1,25,000

Inventory turnover ratio         = cost of good sold / average inventory

= 5,00,000 / 1,25,000

=          4 times

81. Calculation inventory turnover ratio form the following information:

Opening inventory is 50,000; purchase 3,90,000; revenue from operations, I.e., net sales 6,00,000; gross profit ratio 30%.

Solution:

            Gross profit ratio = 30% of net sales

=      30/100 x 6,00,000

=          1,80,00,000

Cost profit = net sales – cost of goods sold

1,80,000 = 6,00,000 – cost of goods sold

Cost of goods sold = 4,20,000

Cost of goods sold = opening inventory + purchases – purchase return + direct expenses – closing inventory

4,20,000          =          50,000 + 3,90,000 – 0 + 0 – closing inventory

Closing inventory = 20,000

Avg. inventory = Opening inventory + Closing inventory / 2

=   50,000 + 20,000 / 2

=    35,000

Inventory turnover ratio         =  cost of good sold / average inventory

=    4,20,000 / 35,000

=          12 times

 

82. Form the following information, calculate inventory turnover ratio:

Opening inventory                             2,00,000

Purchase                                             4,60,000

Carriage inwards                                 20,000

Closing inventory                                 60,000

Wages                                                    30,000

Freight outwards                                  37,500

Solution:

Cost of goods sold = opening inventory + purchases + carriage inwards + wages – closing inventory

= 2,00,000 + 4,60,000 +20,000 + 30,000 – 60,000

= 6,50,000

Avg. inventory = Opening inventory + Closing inventory / 2

=     2,00,000 + 60,000 / 2

=    1,30,000

Inventory turnover ratio         =    cost of good sold / average inventory

=    6,50,000 / 1,30,000

=   5 times

 

83. Calculate inventory turnover ratio from the following:

Opening inventory                            58,000

Closing inventory                              62,000

Revenue from operation, i.e., net sales      6,40,000

Gross profit ratio 25%.

Solution:

Gross profit = 25% of net sales

=   25 / 100 x 6,40,000

=   1,60,000

Gross profit = net sales – cost of goods sold

1,60,000          = 6,40,000 – cost of goods sold

Cost of goods sold = 4,80,000

Avg. inventory = Opening inventory + Closing inventory / 2

=     58,000 + 62,000 / 2

=     60,000

Inventory turnover ratio         =  cost of good sold / average inventory

=  4,80,000 / 60,000

=   8 times

 

84. From the following information, calculate inventory turnover Ratio:

Revenue form operations                             16,00,000

Average inventory                                        2,20,000

Gross loss Ratio 5%.

Solution:

            Gross loss = 5% of revenue from operation

=     25 / 100 x 16,00,000

=          80,000

Gross loss = cost of goods sold – revenue from operation

80,000 = cost of goods sold – 16,00,000

Cost of goods sold = 16,80,000

Inventory turnover ratio         =  cost of good sold / average inventory

=      16,80,000 / 2,20,000

=       7.64 times

 

85. Revenue from operations 4,00,000; gross 1,00,000; closing inventory 1,20,000; excess of closing inventory over inventory 40,000. Calculate inventory turnover Ratio.

Solution;

            Revenue from operation = 4,00,000

Opening inventory           =  1,20,000 – 40,000

=   80,000

Gross profit = revenue from operation – cost of goods sold

1,00,000 = 4,00,000 – cost of goods sold

Cost of goods sold = 3,00,000

Avg. inventory     = Opening inventory + Closing inventory / 2

= 1,20,000 + 80,000 / 2

=          1,00,000

Inventory turnover ratio         = cost of good sold / average inventory

= 3,00,000 / 1,00,000

=          3 times

86. From the following data, calculate turnover Ratio:

Total sales 1,00,000; sales return 1,00,000; gross profit 1,80,000; closing inventory 2,00,000; excess of closing inventory over opening inventory 40,000.

Solution:

            Not sales = gross sales – sales return

=          10,00,000 – 1,00,000

=          9,00,000

Revenue from operation =9,00,000

Opening inventory = 2,00,000 – 40,000

=          1,60,000

Gross profit = revenue from operation – cost of goods sold

1,80,000             =       9,00,000          –           cost of goods sold

Cost of goods sold = 7,20,000

Avg. inventory = Opening inventory + Closing inventory / 2

=  1,60,000 + 2,00,000 / 2

=          1,80,000

Inventory turnover ratio         =   cost of good sold / average inventory

=   7,20,000 / 1,80,000

=          4 times

87. ₹ 2,00,000 is the cost of revenue from operations (cost of good sold), during the year. If inventory turnover Ratio is 8 times, calculate inventories at the end of the year. Inventory at the end is 1.5 times that of in the beginning.

Solution:

            Inventory turnover ratio         =   cost of good sold / average inventory

=  2,00,000 / Opening inventory + Closing inventory  / 2

8          =     2,00,000 x 2 / n + 1.5x

8 (2.5 x0          =          4,00,000

X          =    4,00,000 / 2.5 x 8

Opening inventory                  =          20,000 x 1.5

Closing inventory                    =          20,000 x1.5

=          30,000

88. From the following information obtained from the books of kundan Ltd. calculate the inventory turnover Ratio for the years 2015-16 and 2016-17:

Particular 2015-16 ₹ 2016-17 ₹
Inventory on 31st March Revenue from operations (gross profit is 25% on cost of revenue from operation) 7,00,000 50,00,000 17,00,000 75,00,000

 

In the year 2015-16, inventory by 2,00,000.

Solution:

2015-16

Opening inventory      =          5,00,000

Closing inventory        =          7,00,000

Gross profit                 =          revenue from operation – cost of goods sold

25 / 100 logs             =          50,00,000 – logs

(25/100 + 1) logs      =          50,00,000

Logs                          =          50,00,000 x  100/125

Lost of goods sold       =          40,00,000

Avg. inventory             =  Opening inventory + Closing inventory  / 2

=   5,00,000 + 7,00,000 / 2

=   6,00,000

Inventory turnover ratio         =   cost of good sold / average inventory

= 40,00,000 / 6,00,000

= 6.666

=          6.67 times

2016-17

Opening inventory      =          7,00,000

Closing inventory        =          17,00,000

Average inventory      =    Opening inventory + Closing inventory  / 2

=   7,00,000 / 17,00,000

=  12,00,000

Gross profit                 =          revenue form operation – cost of goods Sold

25 / 100 Logs                           =          75,00,000 – logs

(25 / 100 + 1) logs                   =          75,00,000

Logs                                         =          75,00,000 x  100 / 25

cost of goods sold       =          60,00,000

Inventory turnover ratio         =   cost of good sold / average inventory

=    60,00,000 / 12,00,000

=          5 times

 

89. Calculate inventory turnover ratio from following information:

Opening inventory 40,000; purchases 3,20,000; and closing inventory 1,20,000 state, giving reason, which of the following transactions would (i) increase, (ii) decrease, (iii) neither increase nor decrease the inventory turnover Ratio:

  1. Sale of goods for 40,000 (cost 32,000).
  2. Increase in the value of closing inventory by 40,000.
  3. Goods purchased for 80,000.
  4. Purchase return 20,000.
  5. Goods costing 10,000 withdrawn for personal use.
  6. Goods costing 20,000 distributed as free samples.

Solution-  Inventory Turnover Ratio = 3 Times.

  1. Increase ;
  2. Decrease;
  3. Decrease;
  4. Increase;
  5. Increase;
  6. Increase;

90. From the following information, calculate inventory turnover Ratio:

Credit revenue from operations 6,00,000; cash revenue from operations 2,00,000 gross profit 25% of cost, closing was 3 times the opening inventory. Opening inventory was 10% of cost of revenue from operations.

Solution:

Net revenue from operation = credit revenue from operation + Cash revenue from operation

=          6,00,000 + 2,00,000

=          8,00,000

Let the cost of goods sold be x

Gross profit = net revenue from operations – cost of goods sold

25/100  x =          net revenue from operation – x

(1 + 25/100) x = 8,00,000

x       = 8,00,000 x 100/125

cost of revenue from operations = 6,40,000

opening inventory = 10% of cost of revenue from operations

=  10/1000  x 6,40,000

=   64,000

Closing inventory            =   3 x 64,000       =          1,92,000

Avg. inventory             = Opening inventory + Closing inventory  / 2

=    64,000 + 1,92,000 / 2

=  1,28,000

Inventory turnover ratio         =  cost of good sold / average inventory

=   6,40,000 / 1,28,000

=          5 times

91. Following figures have been extracted form shivalika mills Ltd.

Inventory in the beginning of the year 60,000.

Inventory at the end of the year 1,00,000.

Inventory turnover Ratio 8 times.

Selling price 25% above cost.

Compute amount of Gross Profit and Revenue from operations (Net sales).

Solution:

            Avg. inventory             = Opening inventory + Closing inventory  / 2

=    60,000 + 1,20,000 / 2

=          80,000

Inventory turnover ratio         =    cost of good sold / average inventory

8            =    cost of goods sold  / 80,000

cost of goods sold         =          6,40,000

Selling price                =          25% above cost

Revenue from operation        =          6,40,000 +25%/100 x 6,40,000

=          6,40,000 + 1,60,000

=          8,00,000

Gross profit  = revenue from operation – cost of goods sold

=          8,00,000 – 6,40,000

=          1,60,000

Calculation of Opening and Closing Inventory

92. From the following information, calculation value of opening inventory:

Closing inventory 68,000

Total sales 4,80,000 (including cash sales 1,20,000)

Total purchases 3,60,000 (including credit purchases 2,39,200)

Goods are sold at a profit of 25% on cost.

Solution:

Gross profit = revenue from operation – cost of goods sold

25 / 100   x      =          4,80,000 – x

(25 / 100 + 1)   =          4,80,000

Cost of goods sold       =          4,80,000 x

=          3,84,000

Cost of goods sold = opening inventory + purchase – closing inventory

3,84,000                      = opening inventory + 3,60,000 – 68,000

Opening inventory      =          3,84,000 – 3,60,000 + 68,000

=          92,000

93. From the following information, determine opening and closing inventories:

Inventory turnover Ratio 5 times, total sales 2,00,000, gross profit Ratio 25%. Closing inventory is more y 4,000 than the opening inventory.

Solution:

Gross profit = 25% of sales

=           x     2,00,000

=          50,000

Gross profit = revenue from operation – cost of goods sold

50,000 = 2,00,000 – cost of goods sold

Cost of goods sold = 1,50,000

Let the opening inventory be x

Closing inventory = x + 4,000

Inventory turnover Ratio =

=

5 (2x + 4,000)  =          1,50,000 x 2

10 x + 20,000 =          3,00,000

X                      =

Opening inventory = 28,000

Closing inventory   = 28,000 + 4,000

=     32,000

94. Inventory turnover Ratio 5 times; cost of Revenue from operations (cost of goods sold) 18,90,000. Calculate opening inventory and closing inventory if inventory at the end is 2.5 times more than that in the beginning.

Solution:

Let the opening inventory be x

Closing inventory = x + 2.5 x = 3.5 x

Inventory turnover Ratio =cogs/ average inventory

5  = 1890000/x+3.5x/2

5= 1890000*2/4.5x

5 (4.5 x) = 18,90,000 * 2

22.5x =3780000

x=3780000/22.5

x=168000

Opening inventory = 16,8000

Closing inventory   = 16,8000 x 3.5

=     5,88,000

 

Calculate of Revenue from Operations

95. Average inventory of AB Ltd. Is Rs.1,00,000 and the inventory turnover ratio is 6 times. Calculate the amount of Revenue from Operation if goods are sold at a profit of 25% on Revenue from Operations:

Solution- Revenue from Operation =

Average Inventory = 1,00,000

Inventory Turnover = 6 times

So,

ITR=COGS/Average inventory

6=cogs/100,000

COGS = 6 x 1,00,000

= 6,00,000

Profit = 25% on Revenue

assume RFo=x

GP=25x/100

so COGS=RFO-GP

600,0000=x-25X/100

= 8,00,000

Revenue from operation = 8,00,000

TRADE RECEIVABLES TURNOVER RATIO

 

96. Credit revenue from operations, i.e., Net credit sale for the year

Debtors                                                                                  12,00,000

Bills Receivable                                                                     1,20,000

Calculate Trade receivables turnover Ratio                       80,000

Calculate Trade Receivables Turnover Ratio.

Solution:

Avg. trade receivables = 1,20,000 + 80,000

Trade receivable turnover Ratio        = Credit revenue from operation / Average trade receivable

=    12,00,000 / 2,00,000

=         6 times

 

97. Calculate trade receivables turnover Ratio from the following information:

Opening Balance       closing Balance

Sundry debtors                                              28,000                         25,000

Bills Receivables                                 7,000                           15,000

Provision for doubtful debts            1,500                           4,500

Total sales 1,00,000; sales return 1,5000; cash sales 23,5000.

Solution:

Avg. Trade Receivable = Opening debtors + Closing debtors / 2 + O.p. T / R + Cl. T / R / 2

= 28,000 + 25,000 / 2  + 7,000 + 15,000 / 2

=          26,500 + 11,000

=          37,500

Net credit sales = 1,00,000 – 1500 – 23,500

=          75,000

Trade receivable turnover Ratio        = Credit revenue from operation / Average trade receivable

= 75,000 / 37,500

=         2 times

98. Closing Trade receivables 90,000 revenue from operation 7,20,000, cash revenue from operations 1,80,000. Provision for doubtful debts 8,000. Calculate Trade receivables turnover Ratio.

Solution:

Avg. Trade Receivable = 90,000

Credit revenue from operations = 7,20,000 – 1,80,000

=          5,40,000

Inventory turnover Ratio             = Credit revenue from operation / Average trade receivable

=   5,40,000 / 90,000

=         6 times

99. Closing Trade Receivables 1,00,000; cash sales being 25% of credit sales; Excess of closing Trade Receivables over opening Trade Receivables 40,000; revenue from operations, i.e., net sales 6,00,000. Calculate trade receivable turnover Ratio.

Solution:

            Closing Trade receivable        =          1,00,000

Opening Trade receivable      =          60,000

Net sales = cash sales + credit sales

6,00,000 = 25/100 x + x

25x/100         =          6,00,000

Credit sales =  6,00,000 x 100 / 125

Credit + sales =           4,80,000

Inventory receivable turnover Ratio =  Net credit sales / Average trade receivable

5 =   4,80,000 / 60,000 + 1,00,000 / 2

=  4,80,000 x 2 / 1,60,000

=    6 times

100. compute Trade receivables turnover Ratio from the following:

                                                                                               

                                                                                    31st March,   31st March,

                                                                                        2024                        2025

Revenue from operations (Net sales)                     8,00,000                      7,00,000

Debtors in the beginning of year                                83,000                     1,17,000

Debtors at the end of year                                          1,17,000                      83,000

Sales Return                                                                1,00,000                      50,000

 

solution:

2024

Avg. Trade Receivable                                = Opening Debtors + Closing Debtors / 2

=   83,000 + 1,17,000 / 2

=          1,00,000

Trade Receivable Turnover Ratio  = Credit revenue from operation / Average trade receivable

=  8,00,000 / 1,00,000

=          8 Times

2025

Avg. Trade Receivable                                = Opening Debtors + Closing Debtors / 2

=   1,17,000 + 83,000 / 2

=          1,00,000

Trade Receivable Turnover Ratio  = Credit revenue from operation / Average trade receivable

=  7,00,000 / 1,00,000

=          7 Times

101. Closing Trade Receivables 1,20,000, Revenue from operations 14,40,000. provision for Doubtful Debt 20,000. Calculate trade receivables Ratio.

solution:

        Trade Receivable Turnover Ratio =   Credit revenue from operation / Average trade receivable

=  14,40,000 / 1,20,000

=          12 Times

 

102. Closing Trade Receivables 4,00,000; Cash sales being 25% of credit sales; Excess of closing Trade Receivables over opening Trade Receivables 2,00,000; Revenue from operations, i.e., Net sales 15,00,000. Calculate Trade Receivables Turn over Ratio.

Solution:

Closing Trade Receivable       = 4,00,000

Opening Trade Receivable     = 4,00,000 – 2,00,000

=          2,00,000

Net Revenue from operation =           Cash sales + Credit + Sales

15,00,000                                =      25x/100 + x

Closing Trade Receivable       =          4,00,000

Opening Trade Receivable     =          4,00,000 – 2,00,000

=          2,00,000

Net sales = Cash sales + Credit + Sales

15,00,000                                =     25x/100 + x

x          =       15,00,000 x 100 / 125

credit sales      =          12,00,000

Trade Receivable Turnover Ratio =     Credit revenue from operation / Average trade receivable

=    12,00,000 / 2,00,000 + 4,00,000 / 2

=   12,00,000 x 2 / 6, 00,000

=          4 Times

 

 

103. A form normally has Trade Receivables equal to two months credit sales. During the coming year it expects credit sales of 7,20,000 spread evenly over the year (12 months). What is estimated amount of Trade Receivables at the end of the year?

Solution:

Closing Trade Receivable = Two months credit sales

=  7,20,000 / 12 x 2

= 1,20,000

 

 

104. Mercury Ltd. made credit sales of 4,00,000 during the financial period. If the collection period is 36 days and year is assumed to be 360 days, calculate:

  1. Trade Receivables Turnover Ratio;
  2. Average Trade Receivables;
  3. Trade Receivables at the end when Receivables at the end are more than in the beginning by 6,000.

Solution:

Debt Collection period            =   Number of days / Trade receivable turnover Ratio

36        =   360 /  Trade receivable turnover Ratio

Trade Receivable Turnover Ratio = Net Credit Sales / Average trade receivable

10        =  4,00,000 /  Average trade receivable

Avg. Trade Receivables          =          40,000

Let the opening trade receivable be x

closing Trade receivable = x + 6,000

Avg. Trade Receivable = O. p. T / R + Cl. T / R /2

40,000 =    x + ( X + 6,000)/ 2

2 x + 6,000                  =          80,000

Opening Inventory =          37,000

Closing Inventory    =          43,000

 

105. Calculate Trade Receivables Turnover Ratio in each of the following alternative cases:

            Case 1: Net credit sales 4,00,000; Average Trade receivables 1,00,000.

            Case 2: Revenue from operations (Net sales) 30,00,000; Cash revenue from operations, i.e., Cash sales 6,00,000; opening trade receivables 2,00,000;  closing trade receivables 6,00,000.

            Case 3: Cost of revenue from operations or cost of goods gold   3,00,000; Gross profit on cost 25% cash sales 20% of Total sales; opening trade receivables 50,000; closing trade receivables        1,00,000.

            Case 4: Cost of Revenue from operations or cost of goods sold 4,50,000; Gross profit on sales 20% cash sales 25% of net credit  sales, opening trade receivables 90,000; closing trade  receivables 60,000.

Case 1:

Trade Receivable Turnover Ratio =  Net credit + Revenue from operation

=  4,00,000 / 1,00,000                                                                                                                                             =   4 times

Case 2: Net credit revenue from operation = Net sales – cash sales

                                                                                    =          30,00,000 – 6,00,000

=          24,00,000

Avg. Trade Receivable                 = O. p. T / R + Cl. T / R /2

=  2,00,000 + 6,00,000 / 2

Average Trade Receivable                             =          4,00,000

Trade Receivable Turnover Ratio       =    Net Credit Sales / Average trade receivable

=   24,00,000 / 4,00,000                                                                                                                                          =          6 times

Case 3:

Gross profit =  of cost goods sold

=  25 /100  x 3,00,000

=   75,000

Gross profit = Revenue from operation – cost of goods sold

75,000 = Revenue form operation – 3,00,000

Revenue from operation (Net sales) = 3,75,000

Net sales = Cash Sales + Credit sales

3,75,000 = 20/100 x 3,75,000 + Credit sales

credit sales = 3,75,000 – 75,000

=          3,00,000

Inventory Turnover Ratio = Net Credit revenue from operation / Average trade receivable

= 3,00,000 / 50,000 + 1,00,000 / 2

=  3,00,000 x 2 / 1,50,000

=          4 times

Case 4:

Gross profit = Net Return from operation – cost of goods sold

20x/ 100                 = x – 4,50,000

80x/100           =          4,50,000

Net revenue from operations = 4,50,000 x 100 / 80

=  5,62,500

Net sales = cash sales + credit sales

5,62,500 x 25x/100  +  x

Net credit revenue from operations = 5,62,000 x 100 / 125

=   4,50,000

Avg. Trade Receivable                      = Opening Trade / R + Closing Trade / R / 2

=  90000 + 60000 / 2

=          75,000

Inventory Turnover Ratio = Net Credit revenue from operation / Average trade receivable

= 4,50,000 / 75,000

        =  6 times

106. From the information given below calculate Trade Receivables Turnover Ratio:

Credit Revenue from operations, i.e., Credit sales 8,00,000; opening Trade Receivables 1,20,000; and closing Trade Receivables 2,00,000.

State, giving reason, which of the following would increase, decrease or not change Trade Receivables Turnover Ratio:

  1. Collection From Trade Receivables 40,000.
  2. Credit Revenue from operations, i.e., credit sales 80,000
  3. Sales Return 20,000
  4. Credit Purchase 1,60,000.

Solution:- Trade Receivables Turnover Ratio = 5 Times.

  1. Increase,
  2. Decrease;
  3. Increase,
  4. No Change.

  

CALCULATION OF OPENING AND CLOSING TRADE RECEIVABLES

 

107. 1,75,000 is the Credit revenue from operations, i.e., Net credit of an enterprise. If Trade Receivables Turnover Ratio is 8 times, calculate Trade Receivables in the beginning and at the end of the year. Trade Receivables at the end is 7,000 more than in the beginning.

Solution:

Credit revenue from operation                                  =         1,75,000

Let the Trade receivable in the beginning be  =        x

Closing Trade Receivable       =          x + 7,000

Trade Receivable Turnover Ratio = Net Credit revenue from operation / Average trade receivable

8          = 1,75,000 / x + x+ 7,000 / 2

8          =   1,75,000 / 2x + 7,000

8(2x + 7,000)   =          1,75,000 x 2

2x + 7,000                   =   1,75,000 x 2 / 8

2x                                =          43,750 – 7,000

Opening Trade Receivable (x)            = 36,750 / 2

= 18,375

Closing Trade Receivable                   =          18,375 + 7,000

= 25,375

108. From the following information, calculation opening and closing Trade Receivables, if Trade Receivables Turnover Ratio is 3 Times.

  1. Cash Revenue from operations is 1/3rd of credit Revenue from operations .
  2. Cost of Revenue from operations is 3,00,000.
  3. Gross profit is 25% of the Revenue from operations.
  4. Trade Receivables at the end are 3 times more than that of the beginning.

Solution:

Gross profit = Net sales – Cost of Goods sold

= 25/100   x            =          x – 3,00,000

x –  25x/100            =          3,00,000

=  75x/100            =          3,00,000

x          =      3,00,000 x 100 / 75

Net revenue from operations = 4,00,000

let cash sales be x

Net revenue from operations = cash sales + credit sales

4,00,000          =          1/3 x + x

4x/3                =          4,00,000

x          =  4,00,000 x 3 / 4

Net credit revenue from operation = 3,00,000

Let the opening trade receivable be x

closing trade receivables = x + 3x

Trade Receivable Turnover Ratio = Net credit revenue from operation / Average trade receivable

3          =   3,00,000 / x + 4x / 2

3 (x + 4x)             =   3,00,000 x 2

x                      = 3,00,000 x 2 / 3 x 5

Opening Trade Receivable     =          40,000

Closing Trade Receivable       =          40,000 x 4

=          1,60,000

109. Cash revenue from operations (cash sales) 2,00,000, cost of Revenue from operations or cost of goods sold 3,50,000; Gross profit 1,50,000; Trade Receivables Turnover Ratio 3 times. Calculate opening and closing Trade Receivables in each of the following alternative cases:

Case 1: If closing Trade Receivables were 1,00,000 in excess of Opening Trade Receivables.

Case 2: If Trade Receivables at the end were 3 times than in the beginning.

Case 3: If Trade Receivables at the end were 3 times more than that of in the beginning.

Solution:

Gross profit = Net sales – Cost of goods sold

1,50,000 = Net sale – 3,50,000

Net sales = 5,00,000

Net sales = Cash sales + Credit sales

5,00,000 = 2,00,000 + Credit sales

Net credit revenue from operation = 3,00,000

(Net credit sales)

Case : 1

Opening Trade Receivable = x

Closing Trade Receivable = x + 1,00,000

Trade Receivable Turnover Ratio = Net credit revenue from operation / Average trade receivable

3          = 3,00,000 / x + (x + 1,00,000) / 2

2x + 1,00,000 =  3,00,000 x 2 / 3

2x        =          2,00,000 – 1,00,000

x          = 1,00,000 / 2

Opening Trade Receivable     =          50,000

Closing Trade Receivable       =          50,000 + 1,00,000

=          1,50,000

Case : 2

Opening Trade Receivable = x

Closing Trade Receivable    = 3x

Trade Receivable Turnover Ratio = Net credit revenue from operation / Average trade receivable

3          = 3,00,000 x 2/x + 3x

3(x + 3x)  =          3,00,000 x 2

3 x 4

Opening Trade Receivable     =          50,000

Closing Trade Receivable       =          50,000 x 3

=          1,50,000

Case : 3

Opening Trade Receivable = x

Closing Trade Receivable = x + 3x = 4x

Trade Receivable Turnover Ratio = Net credit revenue from operation / Average trade receivable

3          = 3,00,000 / x + 4x/ 2

3(x + 4x)          =          3,00,000 x 2

3 x 5

Opening Trade Receivable     =          40,000

Closing Trade Receivable       =          40,000 x 4

=          1,60,000

                                                                       

TRADE PAYABLES TURNOVER RATIO

 

110. Calculate Trade payable turnover ratio from the following information:

Opening Creditors 1,25,000; opening bills payable 10,000; closing creditors 90,000 closing bills payable 5,000 purchase 9,50,000 cash purchase 1,00,000 purchase return 45,000.

 

Solution:

Net credit purchase = Total purchase – cash purchase – purchase Return

= 9,50,000 – 1,00,000 – 45,000

=          8,05,000

Avg. Creditors         =   Opening creditors + Closing creditors / 2

=   1, 25,000 + 90,000 / 2

=  2,15,000 / 2

= 1,07,500

Avg. Trade payable   = Op. B / P + Cl. B / P 2

= 10,000 + 5,000 / 2

= 7,500

Avg. Trade payable = Avg. creditors + Avg. Bills payable

=          1,07,500 + 7,500

=          1,15,000

Trade Payable Turnover Ratio = Net credit purchase / Average trade receivable

=    8 05,000 / 1,15,000

=          7 times

111. Calculate Trade payable turnover ratio and Average Debt payment period from the following information:

                                                                        1st April, 2025           31st March, 2026

Sundry Creditors                                                   1,50,000              4,50,000

Bills payable                                                              50,000              1,50,000

Total purchases 21,00,000; purchases Return 1,00,000; cash purchases 4,00,000.

Solution:

Total purchase = Cash purchase + purchase return

21,00,000  =          4,00,000 + Credit purchase

Credit purchase = 17,00,000

Net credit purchase = Credit purchase – purchase Return

=          17,00,000 – 1,00,000

Avg. Trade payables =  Opening creditor + closing creditors / 2 + Op. B / P + Cl. B / P /2

=  1,50,000 + 4,50,000 / 2 +  50,000 + 1,50,000 / 2

= 3,00,000 + 1,00,000

=   4,00,000

Trade Payable Turnover Ratio = Net credit purchase / Average trade receivable

=    16,00,000 / 4,00,000

=          4 times

Avg. Debt Payment Ratio    =  Month in a year / Trade payable turnover ratio

=     12/4

=    3 months

 

112. Closing Trade Payables Rs.5,40,000, Net Purchases Rs.43,20,000. Cash Purchases Rs.10,80,000. Calculate Trade Payable Turnover Ratio.

Solution- Credit Purchase    =   Net Profit   –  Cash Purchase

=  43,20,000 – 10,80,000

=  32,40,000

Trade payable turnover ratio = Credit Purchase / Average Trade Payables

= 32,40,000 / 5,40,000

= 6 times

113. Calculate trade payables turnover ratio for the year 2022-23 in each of the alternative cases:

Case 1: Closing Trade payables 45,000 net purchase 3,60,000 purchases return 60,000 cash purchase 90,000

Case 2: Opening Trade payables 15,000 closing Trade payables 45,000 net purchases 3,60,000

Case 3: Closing trade payables 45,000 net purchases 3,60,000

Case 4: Closing trade payables (including 25,000 due to a supplier of machinery) 55,000 net credit purchases 3,60,000.

Solution –

Case -1

Net credit purchase = Net purchase – cash purchase

=          3,60,000 – 90,000

=          2,70,000

Average trade payable = closing trade payable

=          45,000

Trade Payable Turnover Ratio = Credit Purchase / Average Trade Payables

=    2,70,000 / 45,000

=       6 times

 

Case – 2

Net credit purchase = Net purchase

=          3,60,000

Average Trade payable = Op. T / P + Cl. T / P /2

=   15,000 + 45,000 / 2

=        30,000

Trade Payable Turnover Ratio = Credit Purchase / Average Trade Payables

=  3,60,000 / 30,000

=       12 times

Case – 3

Avg. trade payables = closing trade payable

=          45,000

Net credit purchase = Net purchases = 3,60,000

Trade Payable Turnover Ratio = Credit Purchase / Average Trade Payables

= 3,60,000 / 45,000

= 8 times

Case – 4

Avg. trade payable = closing trade payable – due to supplier of machinery

=          55,000 – 25,000

=          30,000

Net credit purchase = 3,60,000

Trade Payable Turnover Ratio = Credit Purchase / Average Trade Payables

=    3,60,000 / 30,000

                                                               =       12 times

Calculation of Opening and Closing Trade Payable

114. From the following information, calculate Opening and closing trade payables:

Cash Purchases 25% of Total Purchases; Revenue from Operations Rs.3,00,000; Gross profit 25% on Revenue from Operations; Opening Inventory Rs.75,000; Closing Inventory Rs.1,50,000; Trade Payables Turnover ratio 3 Times; Closing Trade Payables were Rs.75,000 in excess of Opening Trade Payable.

Solution- Gross Profit = Revenue from operation  – Cost of Revenue from operation

25% of 3,00,000                  = 3,00,000 – Cost of Revenue from operation

Cost of Revenue from operation = 3,00,000 – 75,000

= Rs.2,25,000

Cost of Revenue from = Op. Inventory + Total Purchase – CI. Inventory operation

2,25,000                         = 75,000 + Total Purchase – 1,50,000

Total Purchase             = Rs.3,00,000

Net Credit + Purchase   = Total Purchase – Cash Purchases

= Rs.3,00,000 – Rs.75,000

= Rs.2,25,000

Opening Trade Payable = X

Closing Trade Payable   = X + 75,000

Tread payable turnover ratio =  Net credit + Purchase / Ave. T/P

3 = 2,25,000 x 2 / 2x  + 75,000                               

                     3 (2x + 75,000) =  2,25,000 X 2

6x + 75,000 X 3   = Rs.4,50,000

x = 4,50,000 – 2,25,000 / 6

Opening Trade Payable       = Rs.37,500

Closing Trade Payable         = Rs.37,500 + Rs.75,000

= Rs.1, 12,500

 

 

 

 

WORKING CAPITAL TURNOVER RATIO

115. Calculate working capital turnover ratio from the following information:                                            Revenue from operations                               30,00,000

Current Assets                                                           12,00,000

Current Liabilities                                                       5,00,000

Solution:

Working capital = current Assets – current liabilities

= 12,50,000 – 500,000

= 7,50,000

Revenue from operation = 30,00,000

Working capital Turnover Ratio = Revenue from operation / Working capital

=   30,00,000 / 7,50,000

=   4 times

116. From the following information, calculate working capital turnover Ratio:

Cost of revenue from operations (cost of goods sold)                            10,00,000

Current Assets                                                                                               5,00,000

Current Liabilities                                                                                         3,00,000

Solution:

Net revenue from operation = cost of revenue from operations

=          5,00,000

Working capital  = current Assets – current liabilities

=          2,50,000 – 1,50,000

=          1,00,000

Working capital Turnover Ratio = Revenue from operation / Working capital

=    5,00,000 / 1,00,000

=          5 times

 

117. Revenue from operations: cash sales 5,00,000; credit sales 6,00,000; sales return 1,00,000 current Assets 3,00,000; current liabilities 1,00,000. Calculate working capital turnover Ratio.

Solution:

Net revenue from operation = cash sales + credit sales – sales return

=          5,00,000 + 6,00,000 – 1,00,000

=          10,00,000

Working capital = current Assets – Current liabilities

=          3,00,000 – 1,00,000

=          2,00,000

Working capital Turnover Ratio = Revenue from operation / Working capital

=  10,00,000 / 2,00,000

=          5 times

118. Equity share capital 15,00,000; Gross profit on Revenue from operations, i.e., sales  Cost of revenue from operations or cost of goods sold 20,00,000; Current Assets 10,00,000; Current liabilities 2,50,000. Calculate working capital turnover Ratio.

Solution;

Gross profit = revenue from operation – cost of revenue from op.

33 of x = x – 20,00,000

X – 1/3x = 20,00,000

X = 20,00,000 x 3 / 2

Revenue from operation = 30,00,000

Working capital Turnover Ratio = Current Assets – Current Liabilities

=          10,00,000 – 2,50,000

=          7,50,000

Working capital Turnover Ratio = Net Revenue from operation / Working capital

=   30,00,000 / 7,50,000

=          4 times

 

119. Capital employed 12,00,000 net fixed Assets 8,00,000 cost of goods sold or cost or revenue from operations 40,00,000 gross profit is 20% on cost. Calculate working capital turnover Ratio.

Solution:

Gross profit = Revenue from operation – cost of revenue from operation

20% of 40,00,000 = Revenue from operation – 40,00,000

Revenue from operation = 40,00,000 + 8,00,000

=          48,00,000

Capital employed + current liabilities = Net fixed Assets + current Assets

12,00,000 + current liabilities = 8,00,000 + current Assets

Current Assets – Current liabilities = 12,00,000 – 8,00,000

working capital = 4,00,000

Working capital Turnover Ratio = Net Revenue from operation / Working capital

=   48,00,000 / 4,00,000

=          12 times

 

120. Calculate working capital turnover ratio from the following information:

 Revenue from operations 15,00,000; current Assets 6,25,000; Total Assets 10,00,000; Non-current liabilities 5,00,000,     shareholders funds 2,50,000.

Solution:

Shareholder’s funds + Non-current Liabilities + Current Liabilities  = Total Assets

= 2,50,000 + 5,00,000 + current liabilities = 10,00,000

= Current liabilities = 10,00,000 – 7,50,000

=          2,50,000

Working capital = Current Assets – Current liabilities

=          6,25,000 – 2,50,000

=          3,75,000

Revenue from operations = 15,00,000

Working capital Turnover Ratio = Net Revenue from operation / Working capital

=     15,00,000 / 3,75,000

                                                            =          4 times

121. Gross profit at 25% on cost: Gross profit 5,00,000 equity share capital 10,00,000 reserve and surplus 2,00,000 long-term loan 3,00,000; fixed Assets (Net) 10,00,000. Calculate working capital Turnover Ratio.

Solution:

Gross profit = 25% on cost of goods sold

5,00,000 = 25/100  x cost of goods sold

Cost of goods sold = 5,00,000 x 100 / 25

=          20,00,000

Net revenue from operation = cost of goods sold + gross profit

=          20,00,000 + 5,00,000

=          25,00,000

Equity share capital + reserves & surplus = fixed Assets (Net) + Current+ Long term loans + current liabilities Assets

10,00,000 + 2,00,000 + 3,00,000 + current = 10,00,000 + Current Assets Liabilities

Current Assets – Current liabilities = 5,00,000

Working capital = 5,00,000

Working capital Turnover Ratio = Net Revenue from operation / Working capital

=   25,00,000 / 5,00,000

=    5 times

 

122. A company earns Gross profit of 25% on cost. for the year ended 31st March, 2017 its Gross profit was 5,00,000; Equity share capital of the company was 10,00,000; Reserves and surplus 2,00,000; long-term loan 3,00,000 and Non-current Assets were 10,00,000.

Compute the ‘working capital Turnover Ratio’ of the company  

Solution:

Gross profit = 25% on cost of goods sold

5,00,000 = 25/100 x cost of goods sold

Cost of goods sold = 5,00,000 x 100 / 25

=          20,00,000

Net revenue from operation = cost of goods sold + Gross profit

=          20,00,000 + 5,00,000

=          25,00,000

Equity share capital + reserve & surplus = Non-current Assets + long-term loans current Assets

10,00,000 + 2,00,000 + 3,00,000 + current liabilities = 10,00,000 + Current Assets

Current liabilities – current Assets = 10,00,000 + 2,00,000 + 3,00,000 – 10,00,000

working capital = 5,00,000

Working capital Turnover Ratio = Net Revenue from operation / Working capital

=  25,00,000 / 5,00,000

=          5 times

 

FIXED ASSETS TURNOVER RATIO

123. Net fixed Assets 5,00,000, Revenue from operations 25,00,000. Calculate fixed Assets turnover ratio.

Solution:

Revenue from operation = 25,00,000

Net Fixed Assets = 5,00,000

Fixed Assets Turnover Ratio = Revenue from operation / Net fixed assets

=  25,00,000 / 5,00,000

=          5 times

124. Fixed Assets (at cost) 7,00,000, Accumulated Depreciation 1,00,000, Credit Revenue from operations 17,00,000 cash revenuer from operations 1,00,000. Calculated Fixed Assets Turnover Ratio.

Solution:

Revenue from operations = Credit revenue from operations + cash revenue from operation

=          17,00,000 + 1,00,000

=          6,00,000

Fixed Assets Turnover Ratio = Revenue from operation / Net fixed assets

=  18,00,000 / 6,00,000

=          3 times

125. Capital Employed 2,50,000, working capital 50,000, cost of Revenue from operations 8,00,000, Gross profit 2,00,000. Calculate fixed Assets Turnover Ratio.

Solution:

Revenue from operation = 1,00,000

Capital employed + Current liabilities = Net fixed Assets + Current Assets

Net fixed Assets = capital employed + current liabilities – current Assets

= Capital employed – (current Assets – Current liabilities)

= Capital Employed – working capital

=          2,50,000 – 50,000

=          2,00,000

Fixed Assets turnover ratio = Revenue from operation / Net fixed assets

=  10,00,000 / 2

=    5 times

126. Capital employed 30,00,000; working capital 5,00,000; cost of revenue from operations 40,00,000; Gross profit 25% of cost. Calculate Fixed Assets Turnover Ratio.

Solution:

Net fixed Assets = Capital employed – working capital

=          30,00,000 – 5,00,000

=          25,00,000

Gross profit     =          Revenue from operation – cost of revenue from operation

x 40,00,000            =          Revenue from operation – 40,00,000

Revenue from operation = 40,00,000 + 10,00,000

=          50,00,000

Fixed Assets turnover ratio = Revenue from operation / Net fixed assets

=  50,00,000 / 25,00,000

=   2 times

 

127. Following information is of Raja Ltd. for 2 years, calculate fixed Assets Turnover Ratio:

                                                                                     2024-25                       2025-26

         Fixed Assets at written down value                3,00,000                      6,00,000

         Cost of Revenue form operations                   12,00,000                    18,00,000

Solution:

2021-22

Net fixed Assets = 3,00,000

Revenue from operations = cost of revenue from operations

=          12,00,000

Fixed Assets turnover ratio = Revenue from operation / Net fixed assets

=  12,00,000 / 3,00,000

=   4 times

Note: In the absence of any further data, revenue from operation is equal to cost of revenue from operation

2022-23

Net fixed Assets = 6,00,000

Revenue from operations = cost of revenue from operations

=          18,00,000

Fixed Assets turnover ratio = Revenue from operation / Net fixed assets

=  18,00,000 / 6,00,000

=   3 times

Note: In the absence of any further data, revenue from operation is equal to cost of revenue from operation

 

 

NET ASSETS TURNOVER RATIO

128. Based on the following information, calculate net Assets or capital employed turnover ratio:

            Share holder’s funds 20,00,000 Equity share capital 10,00,000 Reserves and surplus 10,00,000 8% debentures 10,00,000 and revenue from operations 75,00,000.

Solution:

Capital employed = shareholders’ funds + 8% Debentures

=          20,00,000 + 10,00,000

=          30,00,000

Revenue form operation = 75,00,000

Net Assets Turnover Ratio = Revenue from operation / capital employed

=  75,00,000 / 30,00,000

=   2.5 times

129. From the following information calculate Net Assets Turnover Ratio:

Equity Share Capital Rs.15,00,000; Long-term Borrowing Rs.30,00,000; Reserve and Surplus Rs.5,00,000; Non-current Assets Rs.32,00,000; Revenue from Operations Rs.1,00,00,000.

Solution-

  1. Compute Net Assets

(Net Assets)   = (Equity Share Capital) + (Reserves & Surplus) + (Long term Borrowings) – (Not-current Assets)

=   (15,00,000 + 5,00,000 + 30,00,000 ) – 32,00,000

=    50,00,000 – 32,00,000

=    18,00,000

 

2. Compute Net Assets

 Turnover ratio = 100,00,000 / 18,00,000

                          =  2 times

                     

130. Property, plant and equipment and intangible Assets (at cost) 30,00,000; Accumulated depreciation 5,00,000; Trade investment 2,50,000; Current Assets 11,00,000; Current liabilities 8,50,000; Cash Revenue from operations 10,00,000; Credit revenue from operations 40,00,000

            Calculate Net Assets Turnover Ratio.

Solution:

        

Net Assets = property plant and equipment and intangible Assets (at cost) – Acc. depreciation + Trade investment + current Assets – Current liabilities

= 30,00,000 – 5,00,000 + 2,50,000 + 11,00,000 – 8,50,000

= 30,00,000

Revenue from operation = cash revenue from operation + credit revenue from operation

= 10,00,000 + 40,00,000

= 50,00,000

Net Assets Turnover Ratio = Revenue from operation / capital employed

=  50,00,000 / 30,00,000

=   1.67 times

131. Property, Plant and Equipment and intangible Assets Rs.10,00,000; Working Capital Rs.5,00,000; cost of Revenue from Operations Rs.50,00,000; Gross profit 20% of Cost.

Solution-

  1. Calculate Revenue from Operations

Revenue from Operations = cost of Revenue + Gross profit X Revenue from Operations

= 50,00,000 – 20% X 50,00,000

= 50,00,000 + 10,00,000

= 60,00,000

 

  1. Calculate Capital Employed

Capital Employed = Property, Plant & Equipment & Intangible Assets) + Working Capital

= 10,00,000 + 5,00,000

= 15,00,000

 

  1. Calculate Net Assets

Turnover Ratio

Net assets Turnover Ratio = Revenue from operation / capital employed

= 60,00,000 / 15,00,000

= 4 times

Final Answer                                      = 4 times

 

132. Shareholder’s funds 10,00,000; Long-term Debts 20,00,000; Gross profit at 20% on cost was 20,00,000. Calculate Net Assets or capital employed turnover Ratio.

Solution:

Capital Employed = Shareholder’s funds+ Long-term debts

Capital Employed = 10,00,000 + 20,00,000

Capital Employed = 30,00,000

Gross profit = 20% on cost

20,00,000 = 20% on cost

Cost of Revenue from operation = 20,00,000 x 100/20

Cost of Revenue from operation = 1,00,00,000

Revenue from operation = cost of revenue from operation + Profit

Revenue from operation = 1,00,000,00 + 20,00,000

Revenue from operation = 1,20,00,000

Net assets Turnover Ratio = Revenue from operation / capital employed

= 1,20,00,000 / 30,00,000

Net Assets Turnover Ratio = 4 times

 

133. From the following Balance Sheet of Akhil ltd. as at 31st march, 2025, calculate (i) Net assets turnover ratio and (ii) fixed assets turnover ratio:

Particulars Note No.  
I. EQUITY AND LIABILITIES     1. Shareholders’ Funds        (a) Share capital        (b) Reserve and surplus

 

    2. Non-Current Liabilities

         Long-term Borrowings

         8% Debentures:

 

   3. Current Liabilities

      (a) Trade payables

      (b) Other current liabilities

Total

 

II. ASSETS

    1. Non-current Assets

         Property, Plant and Equipment and                    intangible Assets:

     -property, plant and equipment (net of Depreciation)

   

   2. Current Assets

    (a) Inventories

    (b) Trade Receivables

    (c) Cash and Cash Equivalents

 

Total

       10,00,0003,00,000

 

 

5,00,000

 

 

 

1,50,000

50,000

20,00,000

 

 

 

13,00,000

 

 

 

 

 

3,00,000

2,50,000

1,50,000

 

20,00,000

 

Revenuer from operations for the year was 45,00,000.

Solution:

Capital Employed = share capital + reserve & surplus + 8% Debentures

= 10,00,000 + 3,00,000 + 5,00,000

= 18,00,000

Revenue from operation = 45,00,000

Net Assets Turnover Ratio = Revenue from operation / capital employed

=  45,00,000 / 18,00,000

=   2.5 times

Net Fixed Assets = Property plant & Equipment (Net Depreciation)

=          13,00,000

Revenue from operation = 45,00,000

Net Assets Turnover Ratio = Revenue from operation / capital employed

=  45,00,000 / 13,00,000

=   3.4615 = 3.46 times

GROSS PROFIT RATIO

134. From the following, calculate Gross Profit Ratio:

            Gross Profit: 50,000; revenue from operation 5,00,000; sales       Return 50,000.

Solution:

Gross Profit Ratio = Gross profit / Revenue from operation x 100

=  50,000 / 5,00,000 x 100

=          10%

135. Compute Gross profit Ratio form the following information:

            Cost of revenue from operations (cost of goods sold) 5,40,000;

            revenue from operations (Net sales) 6,00,000.

Solution:

Gross profit = revenue from operation – cost of revenue from  operation

= 6,00,000 – 5,40,000

= 60,000

Gross Profit Ratio = Gross profit / Revenue from operation  x 100

= 60,000 / 6,00,000 x 100

=          10%

 

136. Computer Gross profit Ratio from the following information:

            Revenue from operations, i.e., Net sales = 4,00,000; Gross profit  25% on cost.

Solution;

Gross profit = revenue from operation – cost of revenue from operation

25/100 x    =          4,00,000 – x

1/4x + x =          4,00,000

5x/4              =          4,00,000 x

X                      =       4,00,000 x 4 / 5

Cost of revenue from operation = 3,20,000

Gross profit = Revenue from operation – cost of revenue from operation

= 4,00,000 – 3,20,000

= 80,000

Gross Profit Ratio =  Gros profit / Revenue from operation x 100

= 80,000 / 4,00,000 x 100

=          20%

137. Calculate gross profit ratio from the following data:

         Cash sales are 20% of Total sales are 5,00,000; purchases are  4,00,000; Excess of closing inventory over opening inventory 25,000.

Solution:

Total sales = cash sales + credit sales

X             =      20/100     x                 =          5,00,000

x     – 20/100 x                    =          5,00,000

80x /100                =          5,00,000

Total sales =    5,00,000 x 100/80

Revenue from operation = 6,25,000

Cost of goods sold = opening inventory + purchases – closing inventory

= purchases – (closing inventory – opening inventory)

=          4,00,000 – 25,000

=          3,75,000

Gross profit = Revenue from operation – cost of goods sold

= 6,25,000 – 3,75,000

=          2,50,000

Gross Profit Ratio = Gros profit / Revenue from operation x 100

=  2,50,000 / 6,25,000  x 100

                                    =    40%

138. From the following information, calculation Gross profit Ratio:

         Credit sales                                                        10,00,000

         Purchases                                                          6,00,000

         Carriage inwards                                              20,000

         Decrease in inventory                          20,000

         Return outward                                                20,000

         Wages                                                               1,00,000

         Rate of credit sales to cash sale          4:1

Solution:

Revenue from operation = credit sales + cash sales – sales return

= 10,00,000 + 10,00,000 x  – 0

= 12,50,000

Cost of goods sold = purchases – Return outward + Carriage inward + wages + Decrease In inventory

= 6,00,000 – 20,000 + 20,000 + 1,00,000 + 20,000

= 7,20,000

Gross profit = Revenue from operation – cost of Goods sold

= 12,50,000 – 7,20,000

=  5,30,000

Gross Profit Ratio = Gros profit / Revenue from operation x 100

=  5,30,000 / 12,50,000 x 100

=  42.4 %

139. From the following information, calculate Gross profit Ratio:

         Revenue from operations:

         Cash                   2,00,000                      Carriage inwards                               8,000

         Credit                 8,00,000                      Salaries                                               42,000

         Purchases:                                             Decreases in inventory                   1,22,000

         Cash                   40,000                         Return Outwards                                20,000

         Credit                 3,60,000                      Wages                                                   20,000

Solution:

Revenue from operation = Credit sales + Cash sales

= 8,00,000 + 2,00,000

= 10,00,000

Cost of goods sold = purchases (cash + credit)  – Return outward +  wages + Carriage inward + Decrease In inventory

= (3,60,000 + 40,000) – 20,000 + 20,000 + 8,000 + 1,22,000

= 5,30,000

Gross profit = Revenue from operation – cost of goods sold

= 10,00,000 – 5,30,000

= 4,70,000

Gross Profit Ratio = Gros profit / Revenue from operation x 100

= 4,70,000 / 10,00,000 x 100

=  47 %

140. Opening inventory 2,00,000; closing inventory 1,20,000. Inventory Turnover Ratio 8 times; Selling price 25% above cost. Calculate Gross profit Ratio.

Solution:

Inventory Turnover Ratio = cost of goods sold /avg. Inventory

8          = cost of goods sold / 2,00,000 + 1,20,000 / 2

Cost of Goods sold    = 8 (3,20,000) /2

= 12,80,000

Revenue from operation        = cogs + 25% of cogs

= 12,80,000 + 25/100x 12,80,000

= 12,80,000 + 3,20,000

= 16,00,000

Gross profit = Revenue from operation – cost of goods sold

= 16,00,000 – 12,80,000

= 3,20,000

Gross Profit Ratio = Gros profit / Revenue from operation x 100

= 3,20,000 / 16,00, 000 x 100

=  20 %

141. A trade carries an Average inventory of 1,00,000. His inventory Turnover Ratio is 8 times. He sells goods at a profit of 25% of cost. Calculate Gross Profit Ratio.

Solution:

Inventory Turnover Ratio = cost of goods sold /avg. Inventory

8          = cost of goods sold / 1,00,000

Cost of Goods sold                  = 8,00,000

Revenue from operation        = cogs + 25% of cogs

= 8,00,000 + x 8,00,000

= 10,00,000

Gross profit = Revenue from operation – cost of goods sold

= 10,00,000 – 8,00,000

= 2,00,000

Gross Profit Ratio = Gross profit / Revenue from operation  x 100

= 2,00,000 / 10,00,000 x 100

=  20 %

142. Calculate Gross profit ratio form the following data:

         Average inventory 3,20,000; inventory turnover ratio 8 times;  Average trade receivables 4,00,000 trade receivables turnover   ratio 6 times; cash sales 25% of Net sales.

Solution:

Inventory Turnover Ratio = cost of goods sold /avg. Inventory

8          = cost of goods sold / 3,20,000

Cost of Goods sold                  = 3,20,000 x 8 = 25,60,000

Trade receivables turnover ratio = Net credit revenue from operation / Avg. trade receivable

6          =  Net credit revenue from operations / 4,00,000

Net credit revenue from operation = 24,00,000

Revenue from operation = Net credit revenue from operation + cash

revenue from operation

X          =          24,00,000 + 25x/100

X – 25x/100      =          24,00,000

=          24,00,000

Revenue from operation = 224,00,000 x 100 / 75

=    32,00,000

Gross profit = Revenue from operation – cost of goods sold

= 32,00,000 – 25,60,000

= 6,40,000

Gross Profit Ratio = Gross profit / Revenue from operation x 100

= 6,40,000 / 32,00,000 x 100

=  20 %

143. (i) Revenue from operation: cash sales 4,20,000; credit sales 6,00,000; Return 20,000 cost of Revenue from Operations or cost of Goods sold 8,00,000. Calculate Gross profit Ratio.

         (ii) Average Inventory 1,60,000; Inventory Ratio 6 Times; Selling  price 25% above cost. Calculate Gross profit Ratio.

         (iii) Opening inventory 1,00,000; Closing Inventory 60,000; Inventory Turnover Ratio 8 times; selling price 25% above cost. Calculate Gross Profit Ratio.

Solution:

Case – 1

Net Revenue from operation = Credit sales + Cash sales – Sales Retrun

= 6,00,000 + 4,20,000 – 20,000

= 10,00,000

Cost of Goods sold                  = 8,00,000

Gross profit = Net revenue from operation – Cost of goods sold

= 10,00,000 – 8,00,000

= 2,00,000

Gross Profit Ratio = Gross profit / Revenue from operation x 100

= 2,00,000 / 10,00,000 x 100

=  20 %

Case – 2

Inventory Turnover Ratio = cost of goods sold /avg. Inventory

6          = cost of goods sold / 1,60,000

Cost of Goods sold                  = 9,60,000

Revenue from operation        =  cogs + 25% of cogs

= 9,60,000 + 25 /100x  9,60,000

= 9,60,000 + 2,40,000

= 12,00,000

Gross profit = Revenue from operation – cost of goods sold

=          12,00,000 – 9,60,000

=          2,40,000

Gross Profit Ratio = Gross profit / Revenue from operation x 100

= 2,40,000 / 12,00,000 x 100

=  20 %

Case – 3

Inventory Turnover Ratio = cost of goods sold /avg. Inventory

6          = cost of goods / 1,00,000 + 60,000 / 2

Cost of Goods sold                  = 8 ( 1,60,000) / 2  =  6,40,000

Revenue from operation        =  cogs + 25% of cogs

= 6,40,000 +  25% of  6,40,000

= 6,40,000 + 1,60,000

= 8,00,000

Gross profit = Revenue from operation – cost of goods sold

=          8,00,000 – 6,40,000

=          1,60,000

Gross Profit Ratio = Gross profit / Revenue from operation x 100

= 1,60,000 / 8,00,000 x 100

=  20 %

144. Gross profit Ratio of a company is 25%. state, giving reason, which of the following transactions will

         (a) increase or (b) decrease or (c) not alter the Gross profit Ratio.

         (i) Purchases of stock-in-Trade 50,000.

         (ii) purchases Return 15,000.

         (iii) Cash sale of stock-in-Trade 40,000.

         (iv) Stock-in-Trade costing 20,000 withdrawn for personal use.

         (v) Stock-in-Trade costing 15,000 distributed as free sample.

Solution:  (i) – (v) No Change.

 

OPERATING RATIO

145. Revenue from operations 12,00,000, cost of revenue from operations 5,00,000. Opening cost 6,00,000. Calculate Ratio.

Solution:

Opening Cost = 6,00,000

Revenue from operation = 12,00,000

Operating Ratio =Operating cost / Revenue from operation x 100

= 6,00,000 / 12,00,000 x 100

=  50 %

146. Cost of Revenue from operations (Cost of goods sold) 3,00,000. Operating Expenses 1,20,000. Revenue from Operations: Cash sales 5,00,000. Calculate operating Ratio.

Solution:

Operating cost  = cost of goods sold + operating expenses / Revenue from operation x100

Operating cost = 3,00,000 + 1,20,000 / 5,00,000 x 100                                                                        

Revenue from operation = Cash sales – sales Return

= 5,20,000 – 20,000

= 5,00,000

Operating Ratio = Operating cost / Revenue from operation x 100

= 4,20,000 / 5,00,000 x 100

=  84 %

  1. Operating Ratio 92%; Operating expenses 94,000; Revenue from operations 6,00,000; sales Return 40,000. Calculate cost of Revenue from operations (Cost of goods sold).

Solution

Operating Ratio = cost of goods sold + operating expenses / Revenue from operation x100

92        = Cost of goods sold + 94,000 / 6,00,000 x 100

Cost of Goods sold + 94,000 = 92 x 6,00,000 / 100

Cost of goods sold          = 5,52,000 – 94,000

= 4,58,000

  1. From the following information, calculate Operating Ratio:

Revenue from Operations Rs.10,00,000; Cost of Revenue from Operations Rs.4,00,000; Selling Expenses Rs.80,000; Administrative Expenses Rs.1,20,000.

Goods were sold at a profit of 25% on cost.

Solution-

 

Operating Ratio = Operating cost / Revenuer from operation x 100

Operation of cost  = Cost of Revenue from operations + Selling expenses + Administration expenses

= 8,00,000 + 40,000 + 1,20,000

= 9,60,000

Operating Ratio = 9,60,000 / 10,00,000 x 100

                                                              = 96%

 

  1. From the following information, calculate operating Ratio:

         Cost of Revenue                                              

         From operations (cost of goods sold)            52,000

         Operating Expenses                                          18,000

         Revenue from Operations:

         Gross sales                                                         88,000

         Sales Return                                                       8,000

Solution:

Revenue from operation = Gross sales – sales Return

= 88,000 – 8,000

= 80,000

Operating Ratio = cost of goods sold + operating expenses / Revenue from operation x100                                           = 52,000 + 18,000 / 80,000  x 100

= 70,000 / 80,000 x 100

= 87.5%

 

  1. Calculate cost of Revenue from operations from the information:

         Revenue from operations 12,00,000; Opening Ratio 75%;   Operating Expenses 1,00,000.

Solution:

Operating Ratio = cost of goods sold + operating expenses / Revenue from operation x100                                  92         = cost of goods sold + 1,00,000 / 12,00,000×100  x 100

Cost of Revenue from operation = 75 x 12,00,000 / 100  – 1,00,000

= 8,00,000

  1. Calculate Operating Ratio from the following information:

         Operating cost 6,80,000; Gross Profit 25%; Operating Expenses 80,000.

Solution:

Operating cost = Cost of Goods sold + Operating Expenses

6,80,000 = Cost of Goods sold + 80,000

Cost of Goods sold = 6,00,000

Gross profit = Revenue from operation – cost of goods sold

25/100 x         = x – 6,00,000

x – 25/100 x                       =      6,00,000

x – 75x/100                        =      6,00,000

Revenue from operation = 6,00,000 x 100 / 75

=          8,00,000

Operating Ratio = cost of goods sold + operating expenses / Revenue from operation x 100                                          = 6,00,000 + 80,000 / 8,00,000 x 100

= 6,80,000 / 8,00,000 x 100

= 85 %

  1. (i) Cost of Revenue from operations (cost of goods sold) 2,20,000;

  Revenue from operations (Net Sales) 3,20,000; Selling Expenses 

  12,000; Office Expenses  Rs.8,000; Depreciation 6,000. Calculate

  Operating Ratio.

         (ii) Revenue from operations, cash Sales 4,00,000; Credit sales                                  1,00,000; Gross Profit 1,00,000; Office and selling Expenses 50,000. Calculate Operating Ratio.

Solution:

Case – 1

Operating expenses = Selling Expenses + Office Expenses + Depreciation

= 12,000 + 8,000 + 6,000

= 26,000

Operating Ratio = cost of goods sold + operating expenses / Revenue from operation x 100

= 2,20,000 + 26,000 / 3,20,000 x 100

= 2,46,000 / 3,20,000 x 100

= 76.875%

Case – 2

Revenue from operation = Cash sales + credit sales

= 4,00,000 + 1,00,000

= 5,00,000

Cost of Goods sold      = Revenue from operation – Gross profit

= 5,00,000 – 1,00,000

= 4,00,000

Operating Ratio = cost of goods sold + operating expenses / Revenue from operation x 100

=4,00,000 + 50,000 / 5,00,000 x 100

= 4,50,000 / 50,000 x 100

= 90 %

 

OPERATING PROFIT RATIO

  1. Calculate Operating Profit Ratio from the following:

         Revenue from Operations (Net sales)                                                5,00,000

         Cost of Revenue from operations (Cost of Goods sold)       2,00,000

         Wages                                                                                        1,00,000

         Office and Administrative Expenses                                       50,000

         Interest on Borrowings                                                            5,000

Solution:

Opening Expenses = Office &  Administrative Expenses

=          50,000

Gross profit = Revenue from operation – Cost of Goods sold

=          5,00,000 – 2,00,000

=          3,00,000

Opening Profit            =          Gross Profit     –           Operating Expenses

=          3,00,000          –           50,000

=          2,50,000

Operating Profit Ratio = Operating Profit / Revenuer from operation x 100

= 2,50,000 / 5,00,000 x 100

= 50 %

  1. Calculate Operating profit ratio from the following information:

         Opening inventory                                           1,00,000

         Purchases                                                          10,00,000

         Revenue from operations, i.e., Net sales       14,70,000

         Administrative and Selling Expenses              1,70,000

         Closing inventory                                             1,50,000

         Loss by fire                                                            20,000

         Dividend Received                                               30,000

Solution:

Cost of goods sold = Opening inventory + Purchase – closing inventory

= 1,00,000 + 10,00,000 – 1,50,000

= 9,50,000

Gross profit = Revenue from operation – Cost of goods sold

= 14,70,000 – 9,50,000

= 5,20,000

Operating profit = Gross profit – Administrative & selling Expenses

= 5,20,000 – 1,70,000

= 3,50,000

Operating Profit Ratio = Operating Profit / Revenuer from operation x 100

= 3,50,000 / 14,70,000 x 100

= 23.81%

  1. Revenue from operations 9,00,000; Gross profit 25% on cost; Operating Expenses 45,000. Calculate Operating Profit Ratio.

Solution:

Gross profit = Revenue from operation – Cost of goods sold

25/100 x         =      9,00,000  –  x

x + 25/100 x           =      9,00,000

x – 125x/100          =      9,00,000

Cost of Goods sold      = 9,00,000 x 100 / 125

= 7,20,000

Gross profit                 = 9,00,000 – 7,20,000

= 1,80,000

Opening profit = Gross profit – Opening Expenses

= 1,80,000 – 45,000

= 1,35,000

Operating Profit Ratio = Operating Profit / Revenuer from operation x 100

= 1,35,000 / 9,00,000 x 100

= 15 %

  1. Operating Cost 3,40,000; gross profit ratio 20% operating expenses 20,000. Calculate operating profit ratio.

Solution:

Operating cost = Cost of Goods sold + Operating Expenses

3,40,000 = Cost of Goods sold + 20,000

Cost of Goods sold = 3,40,000 – 20,000

= 3,20,000

Gross profit = Revenue from operation – Cost of goods sold

20/100 x         =   x  –   3,20,000

x – 20x/100                        =              3,20,000

80x/100                      =            3,20,000

Revenue from operation        = 3,20,000 x 100 / 80

= 4,00,000

Gross profit                 = 4,00,000 –  3,20,000

= 80,000

Opening profit = Gross profit – Opening Expenses

= 80,000 – 20,000

= 60,000

Operating Profit Ratio = Operating Profit / Revenuer from operation x 100

= 60,000 / 4,00,000 x 100

= 15 %

  1. What will be the operating profit Ratio, if operating Ratio is 82.59 % ?

Solution:

Operating Profit Ratio + Operating Ratio = 100

Operating profit Ratio + 82.59 = 100

Operating Profit Ratio = 100 – 82.59

= 17.41 %

  1. Calculate Operating profit Ratio in each of the following alternative cases:

         Case – 1: Revenue from Operation (Net sales) 20,00,000; Operating Profit 3,00,000.

         Case – 2: Revenue from Operation (Net sales) 6,00,000; Operating  Cost 5,10,000.

         Case – 3: Revenue from Operation (Net sales) 3,60,000; Gross Profit 20% on sales; Operating Expenses 18,000.

         Case – 4: Revenue from Operation (Net sales) 4,50,000; Cost of Revenue operations 3,60,000; Operating Expenses 22,500.

         Case – 5: Cost of Goods sold, i.e., Cost of Revenue from Operations  4,00,000;Gross Profit 20% on sales; Operating Expenses 25,000.

Solution:

Case – 1

Operating Profit Ratio = Operating Profit / Revenuer from operation x 100

= 3,00,000 / 2,00,000 x 100

= 15 %

Case – 2

Operating profit = Revenue from operation – Operating cost

= 6,00,000 – 5,10,000

= 90,000

Operating Profit Ratio = Operating Profit / Revenuer from operation x 100

= 90,000 / 6,00,000 x 100

= 15 %

Case – 3

Gross Profit

= 20/100 x 3,60,000

= 72,000

Operating profit = Gross Profit  – Operating Expenses

= 72,000 – 18,000

= 54,000

Operating Profit Ratio = Operating Profit / Revenuer from operation x 100

= 54,000 / 3,60,000 x 100

= 15 %

 

 

Case – 4

Gross profit = Revenue from operation – Cost of Revenue from operation

= 4,50,000 – 3,60,000

= 90,000

Operating profit = Gross Profit  – Operating Expenses

= 90,000 – 22,500

= 67,500

Operating Profit Ratio = Operating Profit / Revenuer from operation x 100

= 67,500 / 4,50,000  x 100

                                                = 15 %

Case – 5

Gross profit = Revenue from operation – Cost of Revenue from operation

20/100x =  x – 4,00,000

x –  20x/100    =  4,00,000

80/100 x =    4,00,000

Revenue from operation        = 4,00,000 x 100 / 80

= 5,00,000

Gross profit                 = 5,00,000 – 4,00,000

= 1,00,000

Opening profit = Gross profit – Opening Expenses

= 1,00,000 – 25,000

= 75,000

Operating Profit Ratio = Operating Profit / Revenuer from operation x 100

= 75,000 / 5,00,000 x 100

= 15 %

159. Operating profit ratio of star Ltd. is 20%. State, giving reason, which of the following transactions will (i) increase, (ii) decrease, or (iii) not alter the operating profit ratio:

  1. Purchase of Stock-in-Trade 1,00,000
  2. Purchase returns 20,000
  3. Revenue from operations on sale of stock-in-Trade 1,25,000
  4. Stock-in-Trade costing 25,000 withdrawn for personal use.

         Assuming that operating cost is variable, I.e., varies with revenue from operations.

Solution:

  1. No change.
  2. No change.
  3. No change.
  4. No change.

 

 

 

 

NET PROFIT RATIO

160. Revenue from operations, i.e., Net sales 30,00,000; Net profit 3,00,000. Calculate Net profit Ratio.

Solution:

Net Profit Ratio = Net profit / Revenue from operation  x 100

=  3,00,000 / 30,00,000 x 100

= 10 %

161. Cash sales 2,20,000; Credit sales 3,00,000; sales Return 20,000; Gross profit 1,00,000; Operating Expenses 25,000; Non-operating incomes 30,000; Non-Operating Expenses 5,000. Calculate Net profit Ratio.

Solution:

Revenue from operation = cash sales + credit sales – sales Return

= 2,20,000 + 3,00,000 – 20,000

= 5,00,000

Net Profit= Gross profit + Non-Operating income – Operating Expenses – Non-Operating Expenses

= 1,00,000 + 30,000 – 25,000 – 5,000

= 1,00,000

Net Profit Ratio = Net profit / Revenue from operation x 100

= 1,00,000 / 5,00,000 x 100

= 20 %

 

162. Revenue from operations, i.e., Net sales 8,20,000; Return 10,000; cost of Revenue from operations (cost of goods sold) 5,20,000; Operating expenses 2,09,000; Interest on Debentures 40,500; Gain (profit) on sale of a Fixed Assets 81,000. Calculate net profit Ratio.

Solution:

Gross profit = Revenue from operation – Cost of goods sold

= 8,20,000 – 5,20,000

= 3,00,000

Net Profit = Gross profit – operating expenses – interest on Debentures + gain on sale of fixed Assets

= 3,00,000 – 2,09,000 – 40,500 + 81,000

= 1,31,500

Net Profit Ratio = Net profit / Revenue from operation x 100

= 1,31,500 / 8,20,000 x 100

= 16.04 %

  1. Revenue from operations 4,00,000; Gross profit Ratio 25%; Operating Ratio 90% Non-Operating Expenses 2,000; Non-Operating income 22,000. Calculate Net profit Ratio.

Solution:

Gross profit = 25% of Revenue from operation

= 25/100 x 4,00,000

= 1,00,000

Cast of goods sold = Revenue from operation – Gross profit

= 4,00,000 – 1,00,000

= 3,00,000

Operating Ratio = cost of goods sold + Operation Expense / Revenue from operation x 100

90        = 3,00,000 + Operating Expenses / 4,00,000 x 100

Operating Exp.            = 90 x 4,00,000 / 100

= 3,60,000 – 3,00,000

= 60,000

Net Profit = Gross Profit + Non-Operating Income – Operating Exp. – Non-operating Exp.

= 1,00,000 + 22,000 – 60,000 – 2,000

= 60,000

Net Profit Ratio = Net profit / Revenue from operation x 100

= 60,000 / 4,00,000 x 100

= 15 %

 

RETURN ON CAPITAL EMPLOYED (OR RETURN ON INVESTMENT)

  1. Net Profit before interest and Tax 2,50,000; Capital Employed 10,00,000. Calculate Return on Investment.

Solution:

Return on Investment = profit Before Interest & tax & dividend / Capital Employed x 100

=2,50,000 / 10,00,000 x 100

                                                = 25%

  1. Net profit before interest and Tax 6,00,000; Net Fixed Assets 20,00,000; Net working capital 10,00,000; current Assets 11,00,000. Calculate Return on investment.

Solution

Capital Employed = Net fixed Assets + Net working Capital

= 20,00,000 + 10,00,000

= 30,00,000

Return on Investment = profit Before Interest & tax & dividend / Capital Employed  x 100

=6,00,000 / 30,00,000 x 100

= 20 %

 

  1. Net Profit before and Tax 4,00,000; 15% Long-term Debt 8,00,000; Shareholder’s Funds 4,00,000. Calculate return on investment.

Solution:

Capital Employed = Shareholder’s Funds + 15% long-term Debt

= 4,00,000 + 8,00,000

= 12,00,000

Return on Investment = profit Before Interest & tax & dividend / Capital Employed x 100

=4,00,000 / 12,00,000 x 100

= 33.33 %

 

  1. Net profit after interest but before tax 1,40,000; 15% long-term Debts 4,00,000; Shareholder’s Funds 2,40,000; Tax rate 50%. Calculate Return on capital Employed.

Solution:

Interest            = 15% of long-term Debt

= 15 x 4,00,000

= 60,000

Net profit before interest & tax = Net profit Assets interest + interest & Before Tax

= 1,40,000 + 60,000

= 2,00,000

Capital Employed = Shareholder’s Funds + long-term Debt

                                    = 2,40,000 + 4,00,000

= 6,40,000

Return on Investment = profit Before Interest & tax & dividend / Capital Employed   x 100

=2,00,000 / 6,40,000 x 100

= 31.25 %

  1. With the help of the following information information, calculate return on investment:

Net profit after interest and Tax Rs.6,00,000; 10% debenture Rs.10,00,000; Tax @ 40%; Capital Employed Rs.80,00,000.

Solution –

Let the Profit Before tax be x

Profit After tax = Profit Before tax – 40% of profit before tax

6,00,000     = x –  x

60x/100         = 6,00,000

X =6,00,000 x 100 / 60

Profit before tax = Rs.10,00,000

Profit before tax & Interest = Profit Before tax + Interest on debenture

= 10,00,000 + 10% of 10,00,000

= 11,00,000

Return on Investment = profit Before Interest & tax & dividend / Capital Employed × 100

=11,00,000 / 80,00,000 × 100

= 13.75%

 

  1. Y Ltd’s profit after interest and tax was 1,00,000. Its current Assets were 4,00,000; current liabilities 2,00,000; Fixed Assets 6,00,000 and 10% long-term Debt 4,00,000. The rate of tax was 20% calculate ‘Return on investment’ of Y Ltd.

Solution –

Capital Employed = Fixed Assets + Current Assets – Current Liabilities

= 6,00,000 + 4,00,000 – 2,00,000

= 8,00,000

Let profit + Before tax & After Interest be x

Profit after interest & tax = Profit before tax & – Tax after Interest

1,00,000     =x – 20x/100

20x/100       = 1,00,000

X              =1,00,000 x 100 / 80

Profit before tax & After Interest = Rs.125,000

Profit before tax & Interest = profit before tax & After + Interest

= 125,000 + 10/100 × 4,00,000

= 125,000 + 40,000

= 165,000

Return on Investment = profit Before Interest & tax & dividend / Capital Employed ×100

= 1,65,000 / 8,00,000 × 100

= 20.63%

  1. Calculate Return on investment (ROI) from the following details;

Net profit after Tax 6,50,000 Rate of income Tax 50%; 10% Debentures of 100 each 10,00,000; Fixed Assets at cost 22,50,000; Accumulated Depreciation on fixed Assets up to date 2,50,000; Current Assets 12,00,000; Current Liabilities 4,00,000.

Solution:

Capital employed = Fixed Assets – Acc. Depreciation + Current Assets – Current liabilities

= 22,50,000 – 2,50,000 + 12,00,000 – 4,00,000

= 28,00,000

Let profit before tax & After interest be x

Profit After interest & tax = profit before tax & after – tax interest

6,50,000 = x – 50/100 x

50x/100           =          6,50,000

= 6,50,000 x 100 / 50

Profit before tax & after interest = 13,00,000

Profit before tax & interest = profit before tax & after interest + interest

= 13,00,000 + 10/100 x 10,00,000

= 13,00,000 + 1,00,000

= 14,00,000

Return on Investment = profit Before Interest & tax & dividend / Capital Employed x 100

=14,00,000/28,00,000 x 100

= 50 %

  1. From the following information, calculate Return on Investment:

Shareholder’ Funds                                                           Rs.16,00,000

10% Debentures                                                                Rs.8,00,000

Current Liabilities                                                               Rs.2,00,000

Current Assets                                                                     Rs.5,00,000

Non-Current Assets                                                            Rs.21,00,000

Net Profit After Tax was Rs.3,00,000 and the tax amounted to Rs.1,00,000.

Solution –

Net Profit After Tax = 3,00,000

Add: Tax                    = 1,00,000

Add: Debenture Interest (10% of Rs.8,00,000)  = 80,000

EBIT = Rs.3,00,000 + 1,00,000 + 80,000

= 4,80,000

Capital Employed = Shareholders’ Funds + Long –term Debt

= 16,00,000 + 8,00,000

= 24,00,000

ROI = (EBIT / Capital Employed) × 100

=(4,80,000/24,00,000) ×100

       = 20%

 

 

  1. From the following information, calculate return on investment (or return on capital employed):

Particular

Share capital                                                  5,00,000

Reserves and surplus                                  2,50,000

Net fixed Assets                                             22,50,000

Non-current Trade investment                    2,50,000

Current Assets                                              11,00,000

10% Long-term Borrowings                         20,00,000

Current Liabilities                                          8,50,000

Long term provision                                                Nil

Net profit before TAX: 6,00,000

Solution;

Interest = 10% of long-term Borrowings

=  10/100 x 20,00,000

= 20,00,000

Net Profit Before interest & tax = Net profit before tax + interest

= 6,00,000 + 2,00,000

= 8,00,000

Capital employed = Share capital + Reserve & surplus + 10% long-term Borrowings + Long-term provision

= 5,00,000 + 2,50,000 + 20,00,000 + 0

= 27,50,000

Return on Investment = profit Before Interest & tax & dividend / Capital Employed  x 100

=8,00,000 / 27,50,000 x 100

= 29.09 %

  1. State, with reason, whether the following transactions will increase, decrease or not change the ‘Return on investment’ Ratio. 
  1. Purchase of Machinery of 10,00,000 by issue of equity share of 10 each at par.
  2. Charging depreciation of 25,000 on Machinery
  3. Redemption of debentures by payment of 2,00,000
  4. Conversion of 9% Debentures of 1,00,000 into 10% Debentures of 100 each at par.

Solution:-

  1. Decrease;
  2. Decrease
  3. No change.
  4. Decrease

 

 

MISCELLANEOUS

  1. Calculate ‘Quike Ratio’ and ‘Debt-Equity Ratio’ from the following information information:

Total Debt                                            Rs.8,00,000

Inventory                                             Rs.2,20,000

Long-term Debts                                  RS.6,00,000

Working Capital                                   Rs.2,40,000

Shareholders’ Funds                            Rs.12,00,000

Solution- Current Liabilities = Rs.8,00,000 – 6,00,000

= 2,00,000

Current Assets = 2,40,000 + 2,00,000

= 4,40,000

Quick Assets     = 4,40,000 – 2,20,000

= 2,20,000

Quick Ratio = 2,20,000 / 2,00,000

Quick Ratio = 1.1 : 1,

debt – Equity Ratio = 6,00,000 / 12,00,000

=  0.5 : 1.

 

175. Calculate Revenue from operations of BN Ltd. from the following information:

         Current Assets                                      8,00,000

         Quick Ratio is                                        1.5 : 1

         Current Ratio is                                      2 : 1

         Inventory turnover Ratio is                 6 times

         Goods were sold at a profit of 25% on cost.

Solution:

         Current Assets =Current assets / current liabilities

2          = 8,00,000 / Current liabilities

Current Liabilities = 4,00,000

Quick Ratio  = Quick Assets / current liabilities

1.5       = Quick Assets / 4,00,000

Quick Assets    = 6,00,000

Quick Assets    = Current Assets – Inventory

6,00,000                     = 8,00,000 – Inventory

Inventory                     =          2,00,000

Inventory Turnover Ratio = Cost of Goods Sold / Avg. Inventory

6                = Cost of Goods Sold /2,00,000

Cost of Gods sold = 12,00,000

Gross profit = Revenue from operation – cost of goods sold

25/100x 12,00,000 Revenue from operation – 12,00,000

Revenue from operation = 12,00,000 + 3,00,000

=     15,00,000

  1. Opening inventory 80,000; Purchase 4,30,900; Direct Expenses 4,000; closing inventory 1,60,000; Administrative Expenses 21,100; selling and distribution Expenses 40,000; Revenue form operations, i.e., Net sales 10,00,000. Calculate inventory turnover Ratio; Gross profit Ratio: and Operating Ratio.

Solution:

Case – 1

 

Cost of Goods sold = Opening inventory + Purchase + Direct Expenses – Closing inventory

= 80,000 + 43,0900 + 4,000 – 1,60,000

= 3,54,900

Inventory Turnover Ratio = Cost of Goods Sold / Avg. Inventory

6                = 3,54,900 / 80,000 + 1,60,000 / 2

= 3,54,900 x 2 / 2,40,000

= 2.96 times

Case – 2

Gross profit = Revenue from operation – Cost of Goods sold

= 10,00,000 – 3,54,900

= 6,45,100

Gross Profit Ratio =Gross profit / Revenuer from operation  x 100

= 6,45,100 / 10,00,000  x 100

= 64.51 %

Case – 3

Operating Ratio =Cost of goods sold + Operating Expenses / Revenue from operation x 100                                          = 3,54,900 + 40,000 + 21,100 / 41,00,000 x 100

=4,16,000 / 10,00,000 x 100

= 41.6 %

  1. From the given information calculate:
  • Trade Receivables Turnover Ratio,
  • Current ratio.
Credit Revenue from operations      Rs.80,00,00Debtors                                                 Rs.25,00,000Bills receivables                                 Rs.15,00,000

Total Assets                                        Rs.50,00,000

10% Debentures      Rs.12,00,000Creditors                   Rs.13,00,000Bills Payable             Rs.7,00,000

 

Solution-

  1. Trade Receivable Turnover Ratio

= Net Credit sales /average trade receivable

= 80,00,000 / 25,00,000 + 5,00,000

= 80,00,000 / 40,00,000

 

                                 =   2 times

 

 

  1. Current Ratio

= Current Assets  / Current liabilities

Current Assets        =            Debtors   +   Bill Receivable

=           2500,000 +  1500,000

=           40,00,000

Current Liabilities    =            Creditors  +  Bill Payable

=            1300,000  +  700,000

=            20,00,000

Current Ratio = 40,00,000 / 20,00,000

=            20%

 

 

 

 

178. From the following information obtained from the books of Kamal Ltd., calculate (i) Gross profit Ratio and (ii) Net profit Ratio:

         Revenue from Operation                               2,50,000

         Purchases                                                          1,05,000

         Carriage inwards                                              4,000

         Salaries                                                          30,000

         Decrease in inventory                                      15,000

         Return outwards                                              5,000

         Wages                                                                18,000

Solution:

Case – 1

Cost of Goods sold = Purchase – Return outward + wages + Carriage inwards + Decrease in inventory

= 1,05,000 – 5,000 + 18,000 + 4,000 + 15,000

= 1,37,000

Gross Profit = Revenue from operation – cost of Goods sold

= 2,50,000 – 1,37,000

= 1,13,000

Gross Profit Ratio = Gross profit / Revenue from operation x 100

= 1,13,000 / 2,50,000 x 100

= 45.20 %

Case – 2

Net profit = Gross profit – salaries

= 11,3,000 – 30,000

= 3,000

Net Profit Ratio = Net profit / Revenue from operation x 100

= 83,000 / 2,50,000 x 100

= 33.20 %

 

  1. From the following information, Calculate:

         (i) Return on investment Ratio.

         (ii) Net Assets Turnover Ratio.

Particulars  
Net profit after interest and Tax  Tax

 

Net Fixed Assets: Property, plant and Equipment and intangible Assets

 

Non-Current investment (Non-trade)

 

Equity share capital (Face value 10 per share)

 

15% preference share capital

 

Reserve and surplus (including surplus of the year consideration)

 

10% Debentures

 

Revenue from operations

2,40,000 1,60,000

 

 

10,00,000

 

1,00,000

 

5,00,000

 

1,00,000

 

2,00,000

 

 

4,00,000

 

24,00,000

 

Interest            =          10% Debenture

=          10/100x 4,00,000 = 40,000

Net Profit Before interest & tax = Net profit after interest & tax + tax + interest

= 2,40,000 + 1,60,000 + 40,000

= 4,40,000

Capital Employed = Equity share capital + 15% preference share

capital + reserves & Surplus + 10% Debentures

= 5,00,000 + 1,00,000 + 2,00,000 + 4,00,000

= 12,00,000

Return on Investment = Profit before tax & Interest / Capital employed x 100

= 4,40,000 / 12,00,000 x 100

= 36.67 %

Net Assets Turnover Ratio = Revenue from operation / Capital Employed

= 24,00,000 / 12,00,000

= 2 times

  1. Calculate following ratios on the basis of the following information:

         (i) Gross profit Ratio;   (ii) Current Ratio;   (iii) Acid Test Ratio

         (iv) Inventory Turnover Ratio.

         Gross profit                                           50,000

         Inventory                                              15,000

         Cash and Cash Equivalents      17,500

         Revenue from operations                    1,00,000

         Trade Receivables                                 27,500

         Current Liabilities                                 40,000

Case – 1

Gross Profit Ratio = Gross profit / Revenue from operation x 100

= 50,000 / 1,00,000 x 100

= 50 %

Case – 2

Current Assets = Inventory + Cash & cash Equivalents + Trade receivables

= 15,000 + 17,500 + 27,500

= 60,000

Current Ratio  = Current Assets / current Liabilities

= 60,000 / 40,000  x 100

= 1.5:1

Case – 3

Quick Assets = Current Assets – Inventory

= 60,000 – 15,000

= 45,000

Quick Ratio     = Quick Assets / Current Assets

= 45,000 / 40,000  x 100

= 1.125:1

Case – 4

Cost of goods sold = Revenue from operations – Gross profit

= 1,00,000 – 50,000

= 50,000

Inventory Turnover Ratio = cost of Goods sold / avg. Inventory

= 50,000 x 2 / 15,000

= 3.33 times

  1. Calculate following ratios on the basis of the given information:

         (i) Current Ratio;          (ii) Acid Test Ratio;  (iii) Operating Ratio; and

         (iv) Gross profit Ratio.

         Current Assets                                      3,50,000

         Current Liabilities                                 1,75,000

         Inventor                                                1,50,000

         Revenue from operations (sales)        6,00,000

         Operating Expenses                              2,00,000

         Cost of Revenue from operations       3,00,000

Solution:

Current Ratio  = Current Assets / current Liabilities

= 3,50,000 / 1/75,000  x 100

= 2:1

Case – 2

Acid Test Ratio = current Assets – Inventory / current Liabilities

= 3,50,000 – 1,50,000 / 1,75,000

= 2,00,000 / 1,75,000

= 1.4:1

Case – 3

Operating Ratio = Cost of goods sold + Operation Expense / Revenue from operation x 100

= 3,00,000 + 2,00,000 / 5,00,000  x 100

= 5,00,000 / 6,00,000  x 100

= 83.33 %

Case – 4

Gross Profit = Revenue from operation – cost of revenue from operation

= 6,00,000 – 3,00,000

= 3,00,000

Gross Profit Ratio = Gross profit / Revenue from operation  x 100

= 3,00,000 / 6,00,000 x 100

= 50 %

  1. From the information given below, calculate any three of the following ratios:

         (i) Gross profit Ratio:                (ii) Working capital Turnover Ratio;

         (iii) Debt to Equity Ratio          (iv) Proprietary Ratio

         Revenue from operations (Net sales)                                     5,00,000

         Cost of Revenue operations (cost of goods sold)                  3,00,000

         Current Assets                                                                          2,00,000

         Current Liabilities                                                                     1,40,000

         Paid-up share capital                                                               2,50,000

         13% Debentures                                                                       1,00,000

Case – 1

Gross Profit = Revenue from operation – cost of revenue from operation

= 5,00,000 – 3,00,000

= 2,00,000

Gross Profit Ratio = Gross profit / Revenue from operation x 100

= 40 %

Case – 2

Working Capital = Current Assets – Current Liabilities

= 2,00,000 – 1,40,000

= 60,000

Working capital Ratio = 5,00,000 / 60,000

= 8.33 times

Case – 3

Debt to Equity Ratio = Debt / Equity

= 1,00,000 / 2,50,000

=          0.4:1

Case – 4

Total Assets = paid-up share capital + 13% Debentures + Current Liabilities

= 2,50,000 + 1,00,000 + 1,40,000

= 4,90,000

Property Ratio             = Shareholders funds / total assets

= 2,50,000 / 4,90,000

= 51:1

  1. From the following information related to Naveen Ltd., calculate: 

(a)Return on investment and (b) total assets to debt Ratio.

Information: Fixed Assets Rs.75,00,000; current Assets Rs.40,000,000; Current Liabilities Rs.27,00,00; 12% Debenture Rs.80,00,000 and Net Profit before Interest, Tax and Divided Rs.14,50,000.

Solution –

Case – 1

Capital Employed = Fixed Assets + Current Assets – Current Liabilities

= 75,00,000 + 40,00,000 + 27,00,000

= 88,00,000

Return on Investment = Profit before interest tax dividend / capital employed  ×100

= 14,50,000 / 88,00,000 ×100

= 16.48%

Case – 2

Total Assets = fixed Assets + Current Assets

= 75,00,000 + 40,00,000

= 11,50,000

Debt = 12% Debenture

= 80,00,000

Total Assets to Debt Ratio = total assets / debt

= 11,50,000 / 80,00,000

= 1.44 : 1

 

  1. From the following, calculate (a) Debt to equity ratio; (b) Total Assets to debt Ratio; and (c) proprietary Ratio:

         Equity share capital                                                  75,000

         preference share capital                                             25,000

         General Reserve                                                            45,000

         Balance in statements of profit & loss                      30,000

         Debentures                                                                   75,000

         Trade payables                                                            40,000

         Outstanding Expense                                                    10,000

Solution:

Case – 1

Equity = Equity share capital + preference share capital + General Reserve + Balance in statement of profit & loss

= 75,000 + 25,000 + 45,000 + 30,000

= 1,75,000

Debt to Equity Ratio = Debt / Equity

= 75,000 / 1,75,000

=          0.43:1

Case – 2

Total Assets to Debt Ratio = Total assets / Debt

= 3,00,000 / 75,000

=          4:1

Case – 3

Property Ratio             = Shareholders funds / total assets

= 1,75,000 / 3,00,000

= 0.58:1

 

  1. From the following information calculation:
  • Gross Profit Ratio;
  • Working Capital Turnover Ratio; and
  • Proprietary Ratio.
Particular Amount
Paid up CapitalCredit sales9% Debenture

Cost of Revenue from Operations

Current Assets

Current Liabilities

Cash Sales: 75% of Credit Sales

Net Profit for the year

8,00,0003,00,0003,40,000

6,80,000

5,00,000
2,90,000

1,55,000

Solution –

Case – 1

Revenue from operation = Cash Sales + Credit + Sales

= 75/100 x 300,000 + 3,00,000

= 225000 + 3,00,000

= 5,25,000

Gross profit = Revenue from operation = cost of Goods sold

= 525000 – 6,80,000

= – 155000

Gross profit ratio = Gross profit / Revenue from operation

= -1550000 / 525000 x 100

= – 29.52%

Case – 2

Working capital = current Assets – current Liabilities

= 5,00,000 – 2,90,000

= 21,0000

Revenue from operation = Rs.5,25,000

Working capital Turnover ratio = Revenue from operation / Working capital

= 525000 / 210000

= 2.5 time

Case – 3

Proprietors funds = paid up capital + Net profit for the year

= 8,00,000 + 1,55,000

= 9,55,000

Total Assets  = Paid up capital + net profit for the year + 9% debentures + current liabilities

= 8,00,000 + 155000 + 340,000 +290,000

= 1585000

Proprietary Ratio = Proprietors funds / total Assets x 100

=  9,55,000 / 15,85,000 x 100

= 60.25%

 

  1. From the given information, calculate the following ratios:

(i)Operating Ratio; and (ii) Inventory Turnover Ratio.

Information:

Case Revenue from operations                       Rs.10,00,000

Credit Revenue from Operation            120% of cash revenue from operation

Operating Expenses                         10% of Total Revenue from operation

Rate of Gross profit                          40%

Opening Inventory                           Rs.1,50,000

Closing Inventory                             Rs.20,000 more than operating inventory

Solution –

  • Operating Ratio = cost of Revenue from operation + Operating Expenses / Revenue from operation × 100

 

                                    = 13,20,000 + 2,20,000 / 22,00,000 × 100

= 15,40,000 / 22,00,000  × 100

= 70%

Cash Revenue from Operations = Rs.10,00,000

Credit Revenue from operations = Cash Revenue from Operations x 120%

Credit Revenue form Operations = Rs.10,00,000 x 120%

= 12,00,000

Total Revenue from operations     = Rs.22,00,000

Operating Expenses                          = 10% of Total Revenue from Operations

Operating Expenses                          = 10% of Rs.22,00,000

= 2,20,000

Gross Profit                                         = 40% of Revenue from operations

Gross profit                                        = 40% of 22,00,000

= Rs.8,80,000

Cost of Revenue from operations   = Revenuer from operations – Gross profit

Cost of Revenue from operations   = Rs.22,00,000 – 8,80,000

= 13,20,000

  • Inventory Turnover Ratio = Cost of Revenue from operation / Average Inventory (Note)

                                                               = 13,20,000 / 1,60,000

= 8.25 times

Working Notes:

Average Inventory = Opening Inventory + closing Inventory / 2

                                      = 1,50,000 + 1,70,000 / 2

= 1,60,000

Closing Inventory = Opening Inventory + Rs.20,000

= 1,50,000 + 20,000

= 1,70,000

 

 

  1. Calculation Current Assets and Quick Assets of a company from the following information:

Quick Ratio = 0.70 : 1

Inventory Turnover Ratio = 5 times

Inventory at the end was Rs.20,000 more than inventory in the beginning

Gross Profit  = Rs.75,000

Current Liabilities = Rs.80,000

Revenue from Operation = Rs.4,00,000.

Solution –

Quick Ratio = Quick Asset / current Liabilities

70/1    = Quick Assets / 80,000

Quick assets = 80,000 x .70

Quick Assets = 56,000

Cost of goods sold (COGS)

COGS = RFO – GP

= 400,000 – 75,000

= 325000

Average Inventory

Inventory Turnover Ratio = COGS / Average Inventories

5    = 325000 / Average Inventories

Let’s opening Inventory = x

Closing Inventory             = X + 20,000

Average Inventory           = x + x + 20000 / 2

65,000                        = 2x + 20000 / 2

         65,000 x 2                 = 2x + 20,000

1,30,000 – 20,000   = 2x

110,000 = 2x

110,000 / 2 = x

X       = 55000

Opening Inventory = 55,000

Closing Inventory = 75,000

Current assets = Quick Assets + Inventory

= 56,000 + 75,000

= 131000

So current Assets 131000

Quick Assets 56,000

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Solutions

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  • 12.Applications of Computers in Accounting
  • 11.Accounts from Incomplete Records
  • 10.Financial Statements – II
  • 9.Financial Statements – I

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