4. Admission of a Partner

Calculation of New Profit-Sharing Ratio and Sacrificing Ratio:-

Q1 Jiten and Rajiv are partners sharing profits in the ratio of 3:2. They admit Bikram as a partner for 1/5^th profit share.

Determine profit-sharing ratio after admission of Bikram.

Solution-

Old Ratio – 3:2

Bikram is admitted for 1/5 share of profit

Let the combined share of profit for all partners after Bikram’s admission be = 1

Combined share of Jiten and Rajiv after Bikram’s admission = 1 – Bikram share = 1 – 1/5 =4/5

New Ratio = Old Ratio x Combined Share ofJiten and Rajiv and Bikram

Jiten = 3/5 x 4/5

= 12/25

Rajiv = 2/5 x 4/5

= 8/25

Bikram = 1/5

New profit sharing Ratio:-

Jiten : Rajiv : Bikram

12 : 8 : 5

Q2. Girija, Yatin, Zubin are partners sharing profits and losses in the ratio of 5 : 3 : 2. They admit Suresh into partnership and give him 1/5^th share of profits. Find the new profit-sharing ratio.

Solution – Old Ratio – 5:3:2

Suresh is admitted for 1/5 share of profit

Let the combined share of profit for all partners after Suresh’s admission be = 1

Combined share of Raj, Ram and Ramesh after Suresh’s admission = 1 – Suresh share = 1 – 1/5 =4/5

New Ratio = Old Ratio x Combined Share of Raj, Ram and Ramesh

Girija = 5/10 x 4/5 = 20/50

Yatin = 3/10 x 4/5 = 12/50

Zubin = 2/10 x 4/5 = 8/50

New profit sharing Ratio:-

Girija

Yatin

Zubin

Suresh

10 : 6 : 4 : 5

Q3. A & B are partners sharing profits and losses in the proportion of 7:5. They agree to admit C. their manager, into partnership that is to get 1/6^th share in the profits. He takes this share as 1/24^th from A and 1/8^th from B. calculate new profit-sharing ratio.

Solution – Old Ratio – 7:5

C admits for 1/6 share of profit

A sacrifices his share of profit in favour of C – 1/24

B sacrifices his share of profit in favour of C – 1/8

New Ratio = Old Ratio – Sacrificing Ratio

A’s = 7/12 – 1/24 = 13/24

B’s = 5/12 – 1/8 = 7/24

New Profit-sharing ratio

13 : 7 : 4

Q4. X, Y and Z were partners in a firm sharing profits in the ratio of 3:2:1. They admitted A as a new partner for 1/8^th share in the profits, which he acquired 1/16^th from Y and 1/16^th from Z. Calculate the new profit-sharing ratio of X, Y, Z and A.

Solution – X, Y, Z, shares profits in the ratio of 3:2:1

a’s share – 1/8 (he acquire 1/16 from y and 1/16 from z)

x’s Share – 3/6

y’s new share – 2/6 – 1/16 =13/48

x’s new share – 1/6 – 1/16 =5/48

New profit sharing ratio of X, Y, Z and after making base equal

= 3/6 x 8/8 : 13/48 : 1/6 x 8/8 : 1/8 x 6/6

= 24 : 13 : 5 : 6

Q5. Bharati and Astha were partners sharing profits in the ratio of 3:2. They admitted Dinkar as a partner for 1/5^th share in the future profits of the firm which he got equally from Bharati and Astha. Calculate the new-sharing ratio of Bharati, Astha and Dinkar.

Solution – Calculation of New Profit Sharing Ratio:-

Bharti: Astha – 3:2 (Old Ratio)

Dinkar – 1/5

Bharti’s Sacrifice – 1/5 x 1/2 = 1/10

Astha’s Sacrifice – 1/5 x 1/2 = 1/10

Bharti’s New share – 3/5 – 1/10 = 6-1 = 5/10

Astha’s new share – 2/5 – 1/10 = 4 – 1/10 = 3/10

Dinkar’s new share – 1/5 x 2/2 = 2/10

Bharti: Astha: Dinkar – 5:3:2 (New Ratio)

Q6. Mohan and Mahesh are partners sharing profits and losses in the ratio of 3:2. Nusrat is admitted as partner with 1/4 shares in profit. Nusrat takes his share from Mohan and Mahesh in the ratio of 2:1. Calculate new profit-sharing ratio.

Solution – Old Profit Sharing Ratio amongst Partners (Mohan & Mahesh) is 3:2

Nusrat is admitted for 1/4^th share in Profits

Sacrificing Ratio of Mohan and Mahesh is 2:1

Nusrat acquires = 2/3 x 1/4 = 2/12 from Mohan

Nusrat acquires = 1/3 x 1/4 =1/12 from Mahesh

New ratio – old ratio – new ratio

Mohan’s new share -=3/5 – 2/12 = 36-10/60 -=26/60

Mahesh’s new share = 2/5 – 1/12 =24-5/60 = 19/60

Nusrat’s share =1/4 – 15/60

New profit sharing ratio of partners after making base equal

= 26/60 : 19/60 : 1/4 x 15/15

= 26 : 19 : 15

Q7. S, B and J were partners in a firm. T was admitted as a partner in the partnership firm for 1/5^th share of profit. Calculate the sacrificing ratio of S, B and J.

Solution – Old ratio: S: J: B – 1:1:1

T admitted for 1/5^th share

Remaining share = 1- 1/5 = 4/5

S’s share in profit = 4/5 x 1/2 = 4/10

B’s share in profit = 4/5 x ½ = 4/10

J’s share in profit = 4/5 x 1/2 = 4/10

New profit sharing Ratio after making base equal

S : B : J : T = 4/10 : 4/10 : 4/10 : 1/5 x 2/2

= 4 : 4 : 4 : 2

= 2 : 2 : 2 : 1

Calculation of Sacrificing Ratio of Partners

Sacrificng Ratio of S, B, J

S = 1/3 – 2/7 = 7 – 6 / 21 = 1/21

B = 1/3 – 2/7 = 7 – 6 / 21 = 1/21

J = 1/3 = 2/6 = 7 – 6/21 = 1/ 21

Sacrificing Ratio of S, B, J

1 /21 : 1/21 : 1/21

= 1 : 1 : 1

Q.8 P and Q were partners in a firm sharing profits in the ratio of 5 : 3. R was admitted for 1/4^th share in the profits, of which he took 75% from P and the remaining from Q. Calculate the sacrificing ratio of P and Q.

Solution –

Calculation of New Profit sharing ratio

R’s share in profit = 1/4

R received form Q = 1/4 x 75/100

= 75/400

R received from Q = 1/4 x 25/100

= 25/400

P’s New share in profit = 5/8 – 75/400

= 250 – 75/400

= 175/400

Q’s New share in profit = 3/8 – 25/400

= 150 – 25/400

= 125/400

Partners’ New profit sharing ratio after making base equal

= 175/400 : 125/400 : ¼ x 100/100

= 175 : 125 : 100

= 7 : 5 : 4

Calculation of Sacrificing Ratio of partners

Sacrificing Ratio of P & Q

P’s Sacrifice = 5/8 – 7/16

= 10 – 7/16

= 3/16

Q’s Sacrifice = 3/8 – 5/16

= 6 – 5/15

= 1/16

Sacrificing Ratio of P & Q = 3:1

Q9. Adil and Suresh are partners in a firm sharing profits and losses in the ratio of 7:3. Adil gave 2/10^th from his share and Suresh gave 1/10^th from his share to Jagan, the new partner. Calculate new profit-sharing ratio and sacrificing ratio.

Solution – Calculation of New Ratio Old Ratio of Kabir and Farid 7:3
Kabir sacrifices his share of profit in favor of Jyoti = 2/10

Farid sacrifices his share of profit in favor of Jyoti =1/10
Jyoti’s Share = 2/10 + 1/10 = 3/10

New Ratio = Old Share – Share Sacrificed

Kabir’s New Share = 7/10 – 2/10 = 5/10

Farid’s New Share =3/10 – 1/10 = 2/10

New Profit Sharing Ratio

= 5/10 : 2/10 : 3/10

= 5:2:3
Calculation of Sacrificing Ratio

Adil’s Sacrifice = 7/10 – 5/10 = 2/10

Suresh’s Sacrifice = 3/10 – 2/10 = 1/10

Sacrificing Ratio of Adil’s Suresh

= 2: 1.

Q10. Find New Profit-sharing Ratio:

Solution –

R and T are partners in a firm sharing profits in the ratio of 3:2. S joins the firm. R surrenders 1/4^th of his share and T 1/5^th of his share in favour of S.

Old Ratio – 3:2

Sacrificing Ratio = Old share x Surrender Ratio

R’s share=3/5 x 1/4 = 3/20

T’s share= 2/5 x 1/5 = 2/25

New Ratio = Old Ratio – Sacrificing Ratio

R share 3/5 – 3/20 = 9/20

T share 2/5 – 2/25 = 8/25

S’s Share = R’s Sacrificing + S’s Sacrifice

-=3/20 + 2/25 = 23/100

New Profit-sharing ratio

R = 9/20 x 5/5= 45/100 = 45

T = 8/25x 4/4 = 32/100 = 32

S – 23/100 = 23/100 = 23

New profit sharing ratio

45:32:23

ii. A & B are partners. They admit C for 1/4^th share. In future, the ratio between A & B would be 2:1.

ii. Old Ratio – 1:1

C admits for 1/4^th share of profit

Let the combined share of A, B and C be = 1

Combined share of A and B -=1 – C’s share

= 1 – 1/4 = 3/4

New Ratio = Combined share of A and B x 2:1

A’s = 3/4 x 2/3 – 6/12

B’s = 3/4 x 1/3 – 3/12

New Profit sharing ratio

A = 6/12

B = 3/12

C = 1/4 x 3/3=3/12

New profit share

6:3:3

2:1:1

iii. A & B are partners sharing profits and losses in the ratio of 3:2. They admit C for 1/5^th share in the profit. C acquires 1/5^th of his share from A and 4/5^th share from B.

iii. Old Ratio – 3:2

C admits for 1/5^th share of profit

A’s sacrifice = C’s share x 1/5

= 1/5 x 1/5 = 1/25

B’s sacrifice = C’s share x 4/5

= 1/5 x 4/5 = 4/25

New Ratio = Old Ratio – Sacrificing Ratio

A’s share 3/5 – 1/25 = 14/25

B’s share 2/5 – 4/25 = 6/25

New Profit sharing ratio

A – 14/25

B – 6/25

C – 1/5 x 5/5 = 5/25

14:6:5

iv. A, B and C are partners in the ratio of 1/2 : 1/3 : 1/6. D joins the firm as a new partner for 1/6^th share in profits. C would retain his original share.

iv. Old Ratio = 3:2:1

D admits for 1/6^th share of profit

Let combined share of all partner after D’s admission be = 1

Combined share of A and B in the new firm = 1 – Cs share – D’s share

= 1 – 1/6 – 1/6 = 4/6

New Ratio = Old Ratio x Combined share of A and B

A’s = 3/5 x 4/6 = 12/30

B’s = 2/5 x 4/6 = 8/30

New Profit sharing ratio

A = 12/30 = 12/30 = 12

B = 8/30 = 8/30 = 8

C = 1/6 = 5/30 = 5

D = 1/6 = 5/30 = 5

v. A & B are equal partners. They admit C and D as partners with 1/5^th and 1/6^th share respectively.

v. Old Ratio = 1:1

C admits for 1/5^th share

D admits for 1/6^th share

Let combined share of all partner after C’s and D’s admission be = 1

Combined share of profit A and B after C and D’s admission = 1 – C’s share – D’s share

= 1 – 1/5 – 1/6 = 19/30

New Ratio = Old Ratio x Combined share of A and B

A’s = 1/2 x 19/30 = 19/60

B’s = 1/2 x 19/30 = 19/60

New Profit sharing ratio

A = 19/60 = 19/60 = 19

B = 19/60 = 19/60 = 19

C = 1/5 = 12/60 = 12

D = 1/6 = 10/60 = 10

vi. A & B are partners sharing profits in the ratio of 5:3. C is admitted for 3/10^th share of profit half of which was gifted by A & the remaining share was taken by C equally from A & B.

vi. A and B are partners sharing profits in the ratio of 5:3

C’s share is 3/10^th

Gift by A to C = 3/10 x 1/2 = 3/20

Remaining half taken by C from A and B equally

From A and B = 3/20 x 1/2 = 3/40

Given by A in total = 3/20 + 3/40 = 6 + 3/40 = 9/40

Remaining Share of A and B

A = 5/8 – 9/40 = 25 – 9/40 = 16/40

B = 3/8 – 3/40 = 15 = 3/40 = 12/40

New Ratio of A, B and C

= 16/40: 12/40: 3/10

= 4: 3: 3

Q11. Mahi and Rajat were in partnership sharing profits and losses in the ratio of 4:3. They admitted Kripa as a new partner. Kripa brought 60,000 as her share of goodwill premium which was entirely credited to Mahi’s Capital Account. On the date of admission, goodwill of the firm was valued at 420,000. Calculated the new profit-sharing ratio of Mahi, Rajat and Kripa

Solution – Kripa brought 60,000 as her share of goodwill premium

Share of Kripa = 60,000 / 4, 20,000 = 1/7 given by Mahi

Remaining share of Mahi = 4/7 – 1/7 = 3/7

New Ratio of

Mahi – 3/7

Rajat – 3/7

Kripa – 1/7

New ratio

3:3:1

Q12. Rakesh and Suresh are sharing profits in the ratio of 4:3. Zaheer joins and the new ratio among Rakesh, Suresh and Zaheer is 7:4:3. Find out the sacrificing ratio.

Solution –

Old Ratio = 4:3

New Ratio = 7:4:3

Sacrificing Ratio = Old Ratio – New Ratio

Rakesh’s = 4/7 – 7/14 = 1/14

Suresh’s = 3/7 – 4/14 = 2/14

Sacrificing sharing Ratio

Rakesh = 1/14

Suresh = 2/14

Sacrificing Ratio of Rakesh & Suresh = 1:2

Q13. A, B and C are partners sharing profits in the ratio of 4:3:2. D is admitted for 1/3^rd share in future profits. What is the sacrificing ratio?

Solution – Old Ratio = 4:3:2

D is admitted for 1/3^rd share of profit

Let the combined share of profit of A, B, C and D be – 1

Combined share of A, B and C after D’s admission = 1 – D’s share

= 1 – 1/3 = 2/3

New Ratio = Old Ratio x Combined share of A, B and C

A’s = 4/9 x 2/3 = 8/27

B’s = 3/9 x 2/3 = 6/27

C’s = 2/9 x 2/3 = 4/27

Sacrificing Ratio = Old Ratio – New Ratio

A’s – 4/9 – 8/27 – 4/27

B’s – 3/9 – 6/27 – 3/27

C’s – 2/7 – 4/27 – 2/27

Sacrificing sharing ratio

A = 4/27 = 4

B = 3/27 = 3

C = 2/27 = 2

Sacrificing Ratio = 4:3:2

Q14. Gautam and Yashica are partners sharing profits and losses in the ratio of 3:2. They admit Asma into partnership. Gautam gives 1/3^rd of his share while Yashica gives 1/10^th from his share to Asma. Calculate new profit-sharing ratio and sacrificing ratio.

Solution – Old Ratio of Gautam and Yashica is 3:2

Gautam’s sacrifice – 1/3 x 3/5 = 3/15 Yashica’s sacrifice = 1/10

Sacrificing Ratio – 3/15: 1/10 or 2:1

New ratio = Old ratio – Share Sacrificed

Gautam’s new share – 3/5 – 3/15 = 6/15

Yashica’s new share – 2/5 – 1/10 = 3/10

Asma’s share – 3/15 + 1/10 = 9/30

New Ratio – 6/15: 3/10: 9/30 = 4:3:3

Calculation of Sacrificing Ratio of Gautam & Yashica

Gautam = 3/5 – 4/10 = 6 – 4/10 = 2/10

Yashica = 2/5 – 3/10 = 4 – 3 /10 = 1/10

Sacrificing Ratio = 2 : 1

Q15. A, B and C are partners sharing profits in the ratio of 2:2:1. D is admitted as a new partner for 1/6^th share. C will retain his original share. Calculate the new profit-sharing ratio and sacrificing ratio.

Solution – Calculation of New Profit Sharing Ratio:-

Old Ratio of A, B and C is 2:2:1

D is admitted for 1/6^th share while. C will retain his 1/5 original share

Combine share of A,B,C=1

Remaining share of A and B=1-1/6-1/5=19/30

Remaining share will be shared by A and B in 2:2 (old)

A’s – 19/30 x 2/4 – 38/120

B’s – 19/30 x 2/4 – 38/120

C’s – 1/5 x 24/24 – 24/120

D’s – 1/6 x 20/20 – 20/120

A = 38 or 19

B = 38 or 19

C = 24 or 12

D 20 or 10

Calculation of Sacrificing Ratio:-

Sacrificing Ratio = Old ratio – new ratio

A’s = 2/5 – 19/60 = 24 – 19/60 = 5/60

B’s = 2/5 – 19/60 = 24 – 19/60 = 5/60

A: B = 5:5 = 1:1

Q16. Rajan and Mukul are partners sharing profits and losses in the ratio of 4 : 1; Sacrificing Ratio – 4 : 1. Takes 1/5^th of his share from Amit and 4/25 share from Vidya. Calculate New Profit-sharing Ratio and Sacrificing Ratio.

Solution –

Calculation of New profit sharing ratio

The Ratio between Mukul and Mayank should be the same as the ratio between Rajan and Mukul (4 :1)

Existing Ratio (Rajan : Mukul) = 4 : 1

Desired Ratio (Mukul : Amit) = 4 : 1

To align these, we need to make Mukul’s share consistent across both Ratio. In the first ratio, Mukul is 1, in the second Mukul’s is 4.

We Multiply the Rajan : Mukul ratio by 4

Rajan’s share = 4 x 4 = 16

Mukul’s share = 1 x 4 = 4

Amit’s share = 1 (as per the 4 :1 Mukul : Amit requirement)

New profit share ratio (Rajan : Mukul : Amit) = 16 : 4 : 1

Calculation of Sacrificing ratio

Old Ratio of Rajan and Mukul = 4 : 1

New profit sharing Ratio of Rajan, Mukul and Amit = 16 : 4 : 1

Sacrifice = Old share – New share

Rajan’s Sacrifice = 4/5 – 16/21 = 84 – 80 / 105 = 4/105

Mukul’s sacrifice = 1/5 – 4/21 = 21 – 20/105 = 1/105

Sacrifice Ratio after Making base equal

4/105 : 1/105 = 4 : 1

Sacrifice Ratio (Rajan : Mukul) = 4 : 1

Q17. Amit and Vidhya are partner sharing profits in the ratio of 3:2. They admit Chintan into partnership who acquires 1/5^th of his share from Amit and 4/25^th share from Vidya. Calculate new profit-sharing Ratio and Sacrificing ratio.

Solution – Calculation of New Profit Sharing Ratio:-

Amit: Vidya = 3:2 (Old Ratio)

Assume combine share=1

Chintan acquires 1/5^th of his share from Amit and,

Remaining 4/5^th (1 – 1/5) of his share from Vidya

If 4/5^th share of Chintan = 4/25

Amit’s sacrifice = 1/5 x 1/5 = 1/25

Vidya’s sacrifice = 4/25

Chintan’s share = 4/25 +1/25 = 5/25

New share=old share-sacrificing share

Amit’s new share = 3/5 – 1/25 = 14/25

Vidya’s new share = 2/5 – 4/25 = 6/25

Chintan’s new share = 5/25

Amit: Vidya: R = 14:6:5

Sacrificing Ratio = 1:4

Q18. Anil and Bimal are partners. They admit Raman as a partner for 1/4^th share. You are required to determine.

i. Profit-sharing ratio between Anil and Bimal before Raman’s admission as a partner.

ii. Profit-sharing ratio after Raman’s admission and

iii. Sacrificing Ratio.

Solution-

i. Profit-sharing ratio between Anil and Bimal before Raman’s admission as a partner.(1:1)

ii. Profit-ii. sharing ratio after Raman’s admission

Let’s assume profit=1

1-1/4=3/4

Anil share=3/4×1/2=3/8

Bimal share=3/4×1/2=3/8

Raman share=1/4

New share =3:3:2

iii. Sacrificing Ratio.

Anil = old ratio- new ratio

1/2-3/8=1/8

Bimal = old ratio- new ratio

½-3/8=1/8

Sacrificing ratio=1:1

VALUATION OF FIRMS’ GOODWILL

Q.19 Sana and Rajesh were partners in a firm sharing profits and losses in the ratio of 4 : 3. They admitted Sonu, into partnership for 1/5^th share in the profits of the firm. Goodwill of the firm was to be valued at three years’ purchase of Super Profits. Average net profit of the firm was Rs.80,000. Capital Employed in the business was Rs.2,00,000 and Normal Rate of Return was 10%.

Calculate the amount of goodwill premium brought by Sonu.

Solution –

Calculation of Goodwill of the firm

Given : Average Net profit = Rs.80,000

Capital employed = Rs.2,00,000

Normal Rate of Return = 10% p.a.

Normal profit = Capital employed x Normal Rate of Return

= 2,00,000 x 10%

= Rs.20,000

Super profit = Average profit – Normal profit

= Rs.80,000 – Rs.20,000

= Rs.60,000

Goodwill of the firm = Super profit x 3 year of purchase

= 60,000 x 3

= 1,80,000

Sonu’s share in Goodwill = 180,000 x 1/5

= Rs.36,000

Admission of a partner and treatment of goodwill

Q20. Vimal and Nirmal are partners in a firm sharing profits and losses in the ratio of 3:2. A new partner Kailash is admitted. Vimal gives 1/5^th of his share and Nirmal gives 2/5^th of his share in favour of Kailash. For the purpose of Kailas’s admission, goodwill of the firm is valued at 75,000 and kailash bring his share of goodwill in cash which is retained in the business. Journalese the above transactions.

Solution – Old Ratio of Vimal & Nirmal is 3:2

Share of Profits Kailash will get from Vimal 1/5^th

= 3/5 x 1/5 = 3/25

Share of Profits Kailash will get from Nirmal 2/5^th of his share 2/5 = 2/5 x 2/5 = 4/25

Remaining of

Vimal = 3/5 – 3/25 = 12/25

Nirmal = 2/5 – 4/25 = 6/25

Share of Kailash = 3/25 + 4/25 = 3 + 4/25 = 7/25

= 12 : 6 : 7

New Profit sharing ratio of Vimal, Nirmal and Kailash = 12/25: 6/25: 7/25

Kailash bring his share of goodwill in cash = 75,000 x 7/25 = 21,000

Vimal and Nirmal will be compensated in sacrificing = 3:4

Vimal = 21,000 x 3/7 = 9,000

Nirmal = 21,000 x 4/7 = 12,000

Journal Entry

Q21. Gold and silver are partners sharing profits and losses in the ratio of 2:5. They admit copper on the condition that he will bring 14,000 as his share of goodwill to be distributed between Gold and Silver. Copper’s share in the future profit or losses will be 1/4^th. What will be the new profit-sharing ratio and what amount of goodwill brought in by Copper will be received by Gold and Silver?

Solution – Old Ratio = 2:5

Copper is admitted for 1/4 share

Let the combined share of gold, silver and Copper be = 1

Combined share gold, silver and Copper admission = 1 – Copper’s share

= 1 – 1/4 = 3/4

New Ratio = Old Ratio – Combined share of gold & silver

gold’s = 2/7 x 3/4 = 6/28

silver’s = 5/7 x 3/4 = 15/28

New profit sharing ratio:-

gold = 6/28 = 6/28 = 6

silver = 15/28 = 15/28 = 15

Copper = 1/4 = 7/28 = 7

= 6 : 15 : 7

Calculation of Sacrificing Ratio of Gold & silver

Gold Sacrifices = 2/7 – 6/28 = 8 – 6/28 = 2/28

Silver Sacrifices = 5/7 – 15/28 = 20 – 15/28 = 5/28

Sacrificing Ratio = 2:5

Distribution of Copper’s share of Goodwill or gold & silver will be covered

Copper’s share of Goodwill = 14,000

gold will get = 14,000 x 2/7 = 4,000

silver will get = 14,000 x 5/7 = 10,000

Q22. Pass Journal entries to record the following arrangements in the books of the firm:

B & C are partners sharing profits in the ratio of 3:2. D is admitted paying a premium (goodwill) of 2,000 for 1/4^th share of the profits, shares of B and C remain as before.
B and C are partners sharing profits in the ratio of 3:2. D is admitted paying a premium of 2,100 for 1/4^th share of profits which he acquires 1/6^th from B and 1/12^th from C.

Solution – (a) Journal Entry

(b) Journal Entry

Working Note (a):-

Calculation of New profit sharing ratio of B, C & D

Old Ratio of B & C = 3:2

D is admitted for = 1/4^th share

Remaining share = 1 – 1/4 = 3/4

Remaining share would be distributed by B & C in 3:2

B’s New share = ¾ x 3/5 = 9/2-

C’s New share = 3/4 x 2/5 = 6/20

New profit sharing ratio after making base equal

9/20 : 6/20 : 1/4 x 5/5

9 : 6 : 5

Calculation of Sacrificing Ratio of B & C

B’s = 3/5 – 9/20 = 12 – 9 /20 = 3/20

C’s = 2/5 – 6/20 = 8 – 6/20 = 2/20

Sacrificing Ratio = 3 :2

Treatment of Goodwill

Premium of Goodwill brought in by D in Rs.20,000

It would be divided by B & C in their Sacrificing Ratio

B’s Share in Goodwill = 20,000 x 3/5 = 12000

C’s Share in Goodwill = 20,000 x 2/5 = 8,000

Working Note (b):-

Calculation of New profit sharing ratio of B, C & D

Old Ratio of B & C = 3:2

D’s share = 1/4

D received his share 1/6 from B & 1/12 from C

B’s New share = 3/5 – 1/6 = 18 – 5/30 = 13 /30

C’s New share = 2/5 – 1/12 = 24 – 5/60 = 19 /60

New profit sharing ratio after making base equal

13/30 x 2/2 : 19/60 : 1/4 x 15/15

26 : 19 : 15

Calculation of Sacrificing Ratio of B & C

B’s = 3/5 – 26/60 = 36 – 26/60 10/60

C’s = 2/5 – 19/60 24 – 19/60 = 5/60

Sacrificing Ratio of B & C = 10 : 5 = 2 : 1

Treatment of Goodwill

Premium of Goodwill brought in by D = 21,000

It in distributed by B & C in their Sacrificing Ratio

B’s share in premium of Goodwill = 21000 x 2/3 = 14000

C’s share in premium of Goodwill = 21000 x 1/3 = 7,000

Q23. B & C are in partnership sharing profits and losses as 3:1. They admit D as partner in the firm, D pays premium of 15,000 for 1/3^rd share of the profits. As between themselves, B and C agree to share future profits and losses equally. Draft Journal entries showing appropriations of the premium money.

Solution – Journal Entry

Working Note 1:-

Calculation of New profit sharing ratio of B, C & D

Old Ratio of B & C = 3 : 1

D is admitted for 1/3^rd share

Remaining share = 1 – 1/3 = 2/3

Remaining share in distributed by B & C in 1 : 1

B’s New Share = 2/3 x 1/2 = 2/6

C’s New share = 2/3 x 1/2 = 2/6

New profit sharing ratio after making base equal

= 2/6 : 2/6 : 1/3 x 2/2

= 2 : 2 : 2 = 1 : 1 : 1

Calculation of Sacrificing Ratio

B = 3/4 – 1/3 = 9 – 4 /12 = 5/12 (Sacrifice)

C = 1/4 – 1/3 = 3 – 4 /12 = – 1/4 (Gain)

Calculation of Goodwill Treatment

Goodwill of the firm = 15000 x 3 =m 45,000

As c in also gaining he will also bring premium of Goodwill

C’s will bring = 45,000 x 1/12 = Rs.3750 (Debit0

B’s share in goodwill = 45,000 x 5/12 = Rs.18,750 (Credit)

Q24. X and Y are in partnership sharing profits and losses in the ratio of 5 : 3. Z is admitted as a partner who pays Rs.40,000 as capital and the necessary amount of goodwill which is valued at Rs.60,000 for the firm. His share of profits will be 1/5^th which he takes 1/10^th from X and 1/10^th from Y. Pass Journal entries and also calculate future profit-sharing ratio of the partners.

Solution –

Calculation of New profit sharing Ratio of X, Y and Z

Old Ratio of X and Y = 5 : 3

Z’s share = 1/5^th

Z takes 1/10^th from X & 1/10^th from Y

X’s New share = 5/8 – 1/10 = 25 – 4/ 40 = 21/40

Y’s New share = 3/8 – 1/10 = 15 – 4/40 = 11/40

New profit sharing ratio after making base equal

21/40 : 11/40 : 1/5 x 8/8

21 : 11 : 8

Calculation of sacrificing Ratio

X = 5/8 – 21/40 = 25 – 21 / 40 = 4/40

Y = 3/8 – 11/40 = 15 – 11/40 = 4/40

Sacrificing Ratio = 4 : 4 = 1 : 1

Calculation of amount of Goodwill

Premium for Goodwill brought in by Z

= 60000 x 1/5 = Rs.12000

Rs.12,000 in distributed by X & Y in their profit sharing ratio

X’s share in Goodwill = 12,000 x ½ = Rs.6,000

Y’s share in Goodwill = 12,000 x ½ = Rs.6,000

Q25. Geeta and Meeta are partners in a firm sharing profits in the ratio of 3:2. They admit Anita as a new partner. The new profit-sharing ratio between Geeta, Meeta and Anita will be 5:3:2. Anita brought in 25,000 for her share of premium for goodwill. Pass necessary Journal entries for the treatment of goodwill.

Solution – Journal Entry

Working Note 1:-

Calculating of Sacrificing Ratio

Sacrificing Ratio = Old ratio – new ratio

Geeta’s = 3/5 – 5/10 = 1/10

Sunita’s = 2/5 – 3/10 = 1/10

1:1

Working Note 2:-

Calculation of Treatment of Goodwill

Premium for Goodwill Brought in by Anita is Rs.25,000

Geeta share in Goodwill = 25,000 x 1/2 = Rs.12500

Meeta share in Goodwill = 25,000 x 1/2 = Rs.12500

Q26. Aayush and Aarushi are partners sharing profits and losses in the ratio of 3 : 2. They admitted Naveen into partnership for 1/4^th share. Goodwill of the firm was to be valued at three years’ purchase of super profits. Average net profit of the firm was Rs.20,000. Capital investment in the business was Rs.50,000 and Normal Rate of Return was 10%. Calculate the amount of Goodwill premium brought by Naveen.

Solution –

Ans.-

Calculation of Goodwill of the firm

Normal Profit = Capital employed x Normal Rate of Return

= 50,000 x 10%

= Rs.5,000

Super profit = Average profit – Normal profit

= Rs.20,000 – Rs.5,000

= Rs.15,000

Goodwill = Super profit x 3 years of purchase

= 15,000 x 3

= Rs.45,000

Calculation the Amount of premium of Goodwill brought in by Naveen

Premium of Goodwill of Naveen = 45,000 x 1/4

= Rs.11250

Q27. A and B are partners in a firm sharing profits and losses in the ratio of 3 : 2. They admit C into partnership for 1/5^th share. C brings Rs.30,000 as capital and Rs.10,000 as goodwill. At the time of admission of C, goodwill existed in the Balance Sheet of A and B at Rs.3,000. New profit-sharing ratio of the partners will be 5 : 3 : 2. Pass necessary Journal entries.

Solution –

Solution – Journal Entry

Working Note 1:-

Old Ratio = A: B: C – 3:2:3

New Ratio – A: B: C – 5:3:2

Sacrificing Ratio = Old Ratio – New Ratio

A’s = 3/5 – 5/10 = 1/10

B’s = 2/5 – 3/10 = 1/10

Sacrificing Ratio = X: Y – 1:1

Distribution of Premium for Goodwill C’s share of Goodwill:-

A = 10,000 x 1/2 = 5,000

B = 10,000 x 1/2 = 5,000

Goodwill written-off:-

A’s capital will be debited = 3,000 x 3/5 = 1,800

B’s Capital will be credited = 3,000 x 2/5 = 1,200

Q28. Adil and Bhavya are partners sharing profits and losses in the ratio of 7 : 5. They admit Kamal into partnership who is to get 1/6^th share of profit which he takes 1/24^th from Adil and 1/8 from Bhavya. Kamal brings Rs.1,00,000 for his capital and Rs.36,000 for goodwill. Profit for the first year of the new partnership was Rs.2,40,000. Pass necessary Journal entries for Kamal’s admission and distribution of profit among the partners.

Solution – Journal Entry

Working Note:-

Sacrificing Ratio:-

Adil – 1/24 = 1

Bhavya – 1/8 = 3

Distribution of Cris’s share of Goodwill (in sacrificing ratio):-

Adil – 3,6000 x 1/4 = 9000

Bhavya – 3,6000 x 3/4 = 27000

Calculation of New Profit Sharing Ratio

New ratio = old ratio – Sacrificing Ratio

Adil’s = 7/12 – 1/24 = 13/24

Bhavya’s = 5/12 – 1/8 = 7/24

New profit sharing ratio:-

Adil – 13/24 = 13/24 = 13

Bhavya – 7/24 = 7/24 = 7

Cris – 1/6 = 4/24 = 4

Distribution of Profit earned after Cris’s admission (in new ratio)

Adil – 240,000 x 13/24 = 130,000

Bhavya – 240,000 x 7/24 = 70,000

Cris – 240,000 x 4/24 = 40,000

Q29. X and Y are partners sharing profits in the ratio of 5:3. Z is admitted as a partner for 3/10^th share of profit, half of which was gifted by X and remaining share was taken by Z equally, form X and Y. The goodwill of the firm is valued at Rs.54,000. Z brings in his requisite share of firm’s goodwill. The profit for the first year of new partnership amounts to Rs.60,000.

Pass the necessary Journal entries to adjust goodwill and to distribute profits.

Solution-

Step 1: Calculation Sacrificing ratio

Old Ratio = X : Y

= 5 : 3

= 8

X’s old share = 5/8

Y’s od share = 3/8

Z’s new share = 3/10

Given:

Half of Z’s share = 3/20 gifted by X

Remaining 3/20 taken equally from X and Y = 3/40 each

Z’s share:

From X = 3/20 + 3/40

= 9/40

From Y = 3/40

Therefore:

X’s sacrifice = 9/40

Y’s sacrifice = 3/40

Let’s calculate their new shares

X’s new share = 5/8 – 9/40

= (25 – 9 )/ 40

= 16/ 40

Y’s new share = 3/8 – 3/40

= (15 – 3) / 40

= 12/40

Z’s new share = 3/10

= 12/40

New Ratio = X : Y : Z

= 16 : 12 : 12

= 4 : 3 : 3

Step 2 : Goodwill Adjustment

Goodwill of firm = Rs.54,000

Z’s share in goodwill = 3/10 x 54,000

= Rs.16,200

But:

Gifted portion (Rs.8,100) is not brought by Z (i.e., 3/20 x Rs.54,000)

Remaining goodwill Rs.8,100 is purchased, so brought in cash

Gifted Rs.8,100 is adjusted in capital accounts, not through cash.

Step 3 : Journal Entries

Premium for Goodwill Brought in Kind:-

Q30. Ram and Mohan are partners in a firm sharing profits in the ratio of 3:2. On 1^st April, 2026, they admit Sohan as a partner for 1/4^th share in the profits. Sohan contributed following assets towards his capital and for his share of goodwill:

Stock 60,000; Debtor 80,000: Land 1,00,000; Plant and Machinery 40,000.

On the date of admission of Sohan, the goodwill of the firm was valued at 600,000. Pass necessary Journal entries in the books of the firm on Sohan’s admission if:

Partners do not withdraw the share of goodwill.
Partners withdraw half of their share of goodwill.

Case-I

Solution – Journal Entry

Working Note:-

Sohan’s share of goodwill = 6, 00,000 x 1/4 = 1, 50,000

Distribution of Z’s Goodwill:-

Ram = 1, 50,000 x 3/5 = 90,000

Mohan = 1, 50,000 x 2/5 = 60,000

Case II

When Premium for Goodwill is Brought in by New or Incoming Partner and is Withdrawn by Old Partners Fully or partly:-

Q31. A & B are partners in a business sharing profits and losses in the ratio of 1/3^rd and 2/3^rd. on 1^st April, 2026, their capitals were 80,000 and 1,00,000 respectively. On that date, they admit C in partnership and give him 1/4^th share in the future profits. C brings 80,000 as his capital and 60,000 as goodwill. The amount of goodwill is withdrawn by the old partners in cash. Pass the Journal entries and show the capital Accounts of all the partners. Calculate proportion in which partners would share profits and losses in future.

Solution – Journal Entry

Calculation of New (Future) Ratio:-

Old Ratio = A: B – 1:2

C is admitted for 1/4 share of profit

Let combined share of all partners after C’s admission be = 1

Combined share of A & B after C’s admission = 1 – C’s share = 1 – 1/4 = 3/4

New ratio = Old ratio x Combined share of A & B in the new firm

A’s = 1/3 x 3/4 = 3/12

B’s = 2/3 x 3/4 = 6/12

New profit sharing ratio = A: B: C – 1:2:1

Calculation of Sacrificing Ratio of A & B

A = 1/3 – 1/4 = 4 – 3/12 = 1/12

B = 2/3 – 2/4 = 8 – 6/12 = 2/12

Sacrificing Ratio = 1 : 2

Distribution of Premium for Goodwill:-

A = 6,000 x 1/3 = 2,000

B = 6,000 x 2/3 = 4,000

Q32. Aruna & Karuna were partners in a firm sharing profits and losses in the ratio of 3:2. They admitted C as a new partner for 3/7^th share in the profit and the new profit-sharing ratio will be 2:2:3. Varuna brought 2,00,000 as his capital and 1,50,000 as premium for goodwill. Half of their share of premium was withdrawn by A & B from the firm. Calculate sacrificing ratio and pass necessary Journal entries for the above transactions in the books of the firm.

Solution – Journal Entry

Calculation of Sacrificing Ratio:-

Sacrificing Ratio = Old ratio – new ratio

Aruan’s = 3/5 – 2/7 = 11/35

Karuna’s = 2/5 – 2/7 = 4/35

Sacrificing Ratio = A: B – 11:4

Working Note:-

Distribution of Premium for Goodwill

Aaruna = 1, 50,000 x 11/15 = 1, 10,000

Karuna = 1, 50,000 x 4/15 = 40,000

Amount of Premium for Goodwill withdrawn

Aruana = 1, 10,000 x 1/2 = 55,000

Karuna = 40,000 x 1/2 = 20,000

Q33. Mahesh and Suresh were partners in a firm sharing profits and losses in the ratio o of 2: 1. They decided to admit Nita into partnership with 1/4th share in the profits. Nita brought 2,00,000 0 for her capital and the requisite amount of goodwill premium in cash. The goodwill of the firm is valued at 12,00,000. The new profit-sharing ratio of the partners is 2: 1: 1. Mahesh and Suresh withdraw their share of goodwill. Pass necessary journal entries in the books of the firm for the above transactions.

Ans-

Journal

Calculation Sacrificing Ratio of Mahesh & Suresh

Old P.S.R. of Mahesh & Suresh 2 : 1

New P.S.R of Mahesh, Suresh & Nita = 2 : 1 : 1

Mahesh = 2/3 – 2/4 = 8 – 6/12 = 2/12 (Sacrifice)

Suresh = 1/3 – 1/4 = 4 – 3 /12 = 1/12 (Sacrifice)

Sacrificing Ratio of Mahesh & Suresh is 2 : 1

When Only Part of Premium for Goodwill is brought by New Partner in Cash:-

Q34. A & B are partners sharing profits in the ratio of 2:1. They admit C for 1/4^th share in profits, C brings in 30,000 for his capital and 8,000 out of his share of 10,000 for goodwill. Before admission, goodwill existed in the books at 18,000. Pass Journal entries to give effect to the above arrangement.

Solution – Journal Entry

Working Note:-

Calculation of New profit sharing ratio of A, B & C

Old Ratio of A & B = 2 : 1

C’s share = 1/ 4

Remaining share = 1 – 1/4 = 3/4

Remaining share will be distributed among A & B is their profit sharing ratio i.e., 2 : 1

A’s New share = 3/4 x 2/3 = 6/12

B’s New share = 3/4 x 1/3 = 3/12

New profit sharing ratio after making base equal

6/12 : 3/12 : 1/4 x 3/3

= 6 : 3 : 3

= 2 : 1 : 1

Calculation of Sacrificing Ratio of A & B

A = 2/3 – 2/4 = 8 – 6/12 = 2/12

B = 1/3 – 1/4 = 4 – 3 /12 = 1/12

Sacrificing Ratio of A & B = 2 : 1.

Q35. Rohit and Mohit were partners in a firm sharing profits and losses in the ratio of 3:2. Rahul was admitted into partnership for 1/3 share in profits. Goodwill of the firm was valued at Rs.30,000. Rahul brought Rs.40,000 as capital and Rs.5,000 out of his share of goodwill premium in cash. At the time of Rahul’s admission, goodwill was appearing in the books of the firm at Rs.15,000.

Pass necessary journal entries for the above transactions in the books of the firm on Rahul’s admission.

Solution-

Journal

Calculation of new profit sharing ratio of partners

Old profit sharing ratio of Rohit and mohit is 3:2

Rahul admitted for 1/3 share

Remaining share = 1 – 1/3

= 2/3

Remaining share would be distributed by old Partners in there old profit sharing ratio i.e., 3:2

Rohit’s new share = 2/3 x 3/5

= 6/15

Mohit’s new share = 2/3 x 2/5

= 4/15

New profit sharing ratio of Rohit, Mohit and Rahul after making base equal

= 6/15 : 4/15 : 1/3 x 5/5

= 6 : 4: 5

Calculation of Sacrificing ratio of Rohit and mohit

Old profit sharing ratio of Rohit and Mohit is 3 : 2

New Profit sharing ratio of Rohit, Mohit and Rahil is 6 : 4: 5

Rohit Sacrifices = 3/5 – 6/15

= 9 – 6 / 15

= 3/15

Mohit Sacrifices = 2/5 – 4/15

= 6 – 4 /15

= 2/15

Sacrificing Ratio of Rohit and Mohit is 3:2

Calculation of Partners share in firm’s Goodwill

Goodwill of the firm = Rs.30,000

Rahul’s premium for Goodwill = 30,000 x 1/3

= Rs.10,000

It would be credited to Sacrificing Partners (Rohit and mohit) in their sacrificing ratio i.e., 3:2

Rohit’s will be credited = 10,000 x 3/5

= Rs.6,000

Mohit’s will be credited = 10,000 x 2/5

= Rs.4,000

When New or Incoming Partner is not able to bring his Share of Premium for Goodwill:-

Q36. On the admission of Ritu, goodwill of Murty and Shah is valued at 30,000. Ritu is to get 1/4^th share of profits. Previously Murty and Shah shared profits in the ratio of 3:2. Ritu is unable to bring amount of goodwill. Give Journal entries in the books of Murty and Shah when: (a) Goodwill does not exist in the books; and (b) Goodwill exists in the books at 10,000.

Solution – Goodwill does not exist in the books:-

Journal Entry

(b) Goodwill Exists in the books at 10,000

Journal Entry

Working Note:-

Calculation of Rao’s share of Goodwill:-

Rao’s share of goodwill = 30,000 x 1/4 = 7,500

Adjustment of Rao’s share of Goodwill:-

Murty = 7,500 x 3/5 = 4,500

Shah = 7,500 x 2/5 = 3,000

Q37. A, B and C are in partnership sharing profits in the ratio of 5:4:1. Two new partners D and E are admitted and the new profit-sharing ratio is 3:4:2:2:1. D is to pay 90,000 for his share of Goodwill but E is unable to bring his share of Goodwill. Both the new partners introduced 1,20,000 each as their capital. You are required to pass necessary Journal entries.

Solution – Journal Entry

Working Note:-

Calculation of Sacrificing Ratio:-

Old Ratio – A: B: C – 5:4:1

New Ratio – A: B: C: D: E – 3:4:2:2:1

Sacrificing (or Gaining) Ratio = Old Ratio – New Share

A’s = 5/10 – 3/12 = 30 – 15/60 = 15/60 (Share of Sacrifice)

B’s = 4/10 – 4/12 = 24 – 20/60 = 4/60 (share of sacrifice)

C’s = 1/10 – 2/12 = 6 – 10/60 = -4/60 (share of gain)

Adjustment of Goodwill:-

D’s share in goodwill for 2/12^th share = 90,000

Total goodwill of the firm = 90,000 x 12/2 = 5, 40,000

E’s Share in goodwill = 5, 40,000 x 1/12 = 45,000

C’s share in goodwill = 5, 40,000 x 4/60 = 36,000

Hidden Goodwill:-

Q38. Tushar & Pares are partners in a firm with capital of 60,000 and 1,20,000 respectively. They decide to admit C into the partnership for 1/4^th share in the future profits. C is to bring in a sum of 70,000 as his capital. Calculate amount of goodwill.

Solution – Actual Capital of the firm after admission of C

= A’s Capital + B’s Capital + C’s Capital

= 60,000 + 1, 20,000 + 70,000 = 2,50,000

Capitalized value of the firm on the basis C’s share = 70,000 x 4/1 = 2, 80,000

Goodwill = Capitalized value of the firm – actual capital of the firm

= 2, 80,000 – 2, 50,000 = 30,000

Q39. Anil and Sunil are partners in a firm with fixed capitals of 3,20,000 and 2,40,000 respectively. They admitted Charu as a new partner for 1/4^th share in the profits of the firm on 1^st April 2026. Charu brought 3,20,000 as her share of capital. Calculate value of goodwill and record necessary Journal entries.

Solution – Journal Entry

Working Note:-

Calculation of Hidden Goodwill:-

Total capital of the firm on the basis of Charu’ Capital

= 3, 20,000 x 4/1 = 12, 80,000

Less – Adjusted capital of partners + new partners’ capital = (8, 80,000)

4, 00,000

Charu’s share of goodwill = 4, 00,000 x 1/4 = 1, 00,000

Q40. Vanshika and shikha were partner in a firm with capital of 100,000 and 80,000 respectively. They admitted Nisha on 1^st April 2022 as a new partner for 1/4 share in a future profit of the firm. Nisha brought 90,000 as her capital. Nisha acquire her share equally from Vanshika and shikha. Calculate the value of goodwill of the firm and pass necessary journal entry on Nisha’s admission assuming that Nisha did not bring her share of goodwill premium in cash. Show the working clearly.

Working Note:-

Calculation of Hidden Goodwill:-

Total capital of the firm on the basis of Charu’ Capital

= 90,000 x 4/1 = 3,60,000

Less – Adjusted capital of partners + new partners’ capital = (2,70,000)

(180,000+90,000) 90,000

Charu’s share of goodwill = 90,000 x 1/4 = 22500

Q41. X and Y are partners with capitals of 50,000 each. They admit Z as a partner for 1/4^th share in the profits of the firm. Z brings in 80,000 as his share of capital .Profit & Loss Account showed a credit balance of 40,000 as on date of admission of Z. give necessary Journal entries to record the goodwill.

Solution –

Total Capital of the firm after Z’s admission

= X’s capital + Y’s Capital + Undistributed Profit + Z’s Capital

= 50,000 + 50,000 + 40,000 + 80,000 = 2, 20,000

Capitalized value of the firm on the basis Z’s share = 80,000 x 4/1 = 3, 20,000

Goodwill = Capitalized value of the firm – Total capital after Z’s admission

= 3, 20,000 – 2, 20,000 = 1, 00,000

Calculation of Z’s premium of Goodwill

Z’s premium for Goodwill = 1,00,000 x 1/4

= Rs.25,000

X’s will get = 25,000 x 1/2 = Rs.12500

Y’s will get = 25,000 x 1/2 = Rs.12,500

Q42. Asin and Shreyas are partners in a firm. They admit Ajay as a new partner with 1/5^th share in the profits of the firm. Ajay brings 5,00,000 as his share of capital. The value of total assets of the firm was 15,00,000 and outside liabilities were valued at 5,00,000 on that date. Give necessary Journal entry to record goodwill at the time of Ajay’s admission. Also show your workings.

Solution – Journal Entry

Working Note:-

Calculation of Goodwill brought in by Ajay:-

Value of firm’s goodwill = Capitalized value of the firm – Net worth

Capitalized value of firm = Share of Ajay’s capital x Reciprocal of Ajay’s share

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

Net worth of the new firm = Total assets – Outside liabilities + Ajay’s capital

= 15, 00,000 – 5, 00,000 + 5, 00,000 = 15, 00 000

Value of firm goodwill = Capitalized value of firm – net worth of the new firm

= 25, 00,000 – 15, 00,000 = 10, 00,000

Calculation of Ajay’s premium for goodwill

Ajay’s share of goodwill = 10, 00,000 x 1/5 = 2, 00,000

Asin will get = 2,00,000 x 1/2 = 1,00,000

Shreyas will get = 2,00,000 x 1/2 = 1,00,000

Revaluation of Assets and Reassessment of Liabilities:-

Q43. Arun and Vijay are partners in a firm sharing profit & Loss in the ratio of 3:2

Balance Sheet (Extract)

If the value of machinery in the Balance Sheet is excess by 33 %, find the value of machinery to be shown in the New Balance Sheet.

Solution:-

Calculation of Correct Book value of Machinery

Let the correct value of Machinery be x

The Recorded value is 33 1/3 % Excess than the Book value

Thus According to the Question

X + 33 1/3% x = 2,00,000

X + 100/3 x 1/100x = 2,00,000

4x /3 = 2,00,000

X = 2,00,000 x 3/4

X = Rs.1,50,000

The machinery should be shown with Rs.150,000 Book value in New Balance Sheet.

Q44. Pass entries in firm’s Journal for the following on admission of a partner:

Unrecorded Investments of 20,000 are to be accounted.
Unrecorded liability towards suppliers for 5,000 is to be accounted.
An item of 1,600 included in Sundry Creditors is not likely to be claimed and hence should be written back.

Solution – Journal Entry

Q45. X and Y are partners sharing profits in the ratio of 3:2. They admitted Z as partner for 1/4^th share of profits. At the time of admission of Z, investments appeared at 80,000. Half of the investments to be taken by X and Y in their profit-sharing ratio at book value .Remaining investments were valued at 50,000. Pass the necessary Journal entries.

Solution – Journal Entry

Q46. X and Y are partners in a firm sharing profits in the ratio of 3:2. They admitted Z as a partner and fixed new profit-sharing ratio as 3:2:1. At the time of admission of Z, Debtors and Provision for Doubtful Debts existed at 50,000 and 5,000 respectively. All debtors are good. Pass the necessary Journal entries.

Solution – Journal Entry

Q47. Ashok and Bhaskar are partners in a firm sharing profits in the ratio of 3:2. They admitted Chaman as a partner for 1/4^th share of profits. At the time of admission of Chaman, Sundry Debtors and provision for doubtful debts existing at 76000 and 8000 respectively. 6000 debtors proved bad. A provision of 5% is to be created on Sundry Debtors for Doubtful debts. Pass the necessary Journal entries.

Solution – Journal Entry

Working Note:-

Calculation of Provision for Doubtful Debts

Provision to be created = (76,000 – 6,000) x 5/100 = 3,500

Old Provision = 2,000

New Provision to be created = 3,500 – 2,000 = 1,500

Q48. Pass entries in the firm’s Journal for the following on admission of a partner:

Machinery is reduced by 16,000 and Building be appreciated by 40,000.
A provision be created for Doubtful Debts @ 5% Debtors amounting to 80,000.
Provision for warranty claims is increased by 12,000.
Furniture (Book value 50,000) is to be reduced by 40%.
Furniture (Book Value 50,000) is to be reduced to 40%.

Solution – Journal Entry

Q49. At the time of admission of a partner Suresh, assets and liabilities of Ramesh and Naresh were revalued as follows:

A Provision for Doubtful Debts @ 10% was made on Sundry Debtors (Sundry Debtors 50,000).
Creditors were written back by 5,000.
Building was appreciated by 20% (Book value of Building 2,00,000).
Unrecorded Investments were valued at 15,000.
A Provision of 2,000 was made for an Outstanding Bill for repairs.
Unrecorded Liability towards suppliers was 3,000.

Pass necessary Journal entries.

Solution – Journal Entry

Q50. Om and Shiv are partners in a firm sharing profits equally.

Balance Sheet (Extract)

An amount of 12,000 due from Mohan, a debtor, is to be written off as no longer receivable. Provision for Doubtful Debts on remaining debtors is to be maintained at the current rate.

What amount of Provision for Doubtful Debts should be credited to maintain its current rate?

Solution – Debtors – 1, 50,000

Provision for Doubtful Debts – 15,000

Current rate of provision=15,000 x100/ 1, 50,000= 10% (Predict)

Debtors = 1, 50,000

Bad Debts = – 12,000

1, 38,000

10% Provision 13,800

1, 24,200

Provision For Doubtful Debts 15,000

– New Bad debts 12,000

Remaining Bad debts 3,000

Amount of Provision for Doubtful Debts to be credited to maintain its current rate 10%

New Provision for Bad Debts 13,800

– Remaining Bad Debts 3,000

10,800

So Provision of Only 10,800 is required to be Credited through Revaluation.

Q51. Ashish and vishesh were partners sharing profit and losses in the ratio of 3:2 their balance sheet as at 31^st march 2022 was as under

BALANCESHEET OF ASHISH AND VISHESH as at 31^st march 2022

On 1^st April 2022 Manya was admitted into the firm with 1/4^th share in the profit on the following term

Manya will bring 1,00,000 as her capital and 50,000 as her share of goodwill premium in cash
Outstanding electricity bill will be paid off
Stock was found over valued 12000

Pass necessary journal entry in the books of the firm on Manya admission.

Reserves and Accumulated Profit/Losses and Preparation of Revaluation Account:-

Q52. Give the Journal entry in the following cases:

To distribute ‘Workmen Compensation Reserve’ of Rs.90,000 a the time of admission of R, when there is no claim against it. The firm has two partners P and Q.
To distribute ‘Workmen Compensation Reserve’ of Rs.90000 at the time of admission of R, when there is a claim of Rs.60,000 against it. The firm has two partners P and Q.
To distribute ‘Investment Fluctuation Reserve’ of Rs.60,000 at the time of admission of R, when Investments (mark value Rs.2,85,000) exists at Rs.3,00,000. The firm has two partners P and Q.
To distribute ‘General Reserve’ of Rs.60,000 at the time of admission of R, when Rs.15,000 from General Reserve is to be transferred to Investment Fluctuation Reserve. The firm has two partners P and Q.

Solution-

Journal

Q53. Ram and Shyam were partners in a firm sharing profits and losses in the ratio of 2:1. Mohan was admitted for 1/3^rd share in the profits. On the date of Mohan’s admission, the Balance Sheet of Ram and Shyam showed General Reserve of 2,50,000 and a credit balance of 50,000 in Profit & Loss Account. Pass necessary Journal entries on the treatment of these items on Mohan’s admission.

Solution – Journal Entry

Working Note:-

Calculation of Share of General Reserve & P & L A/c

Ram’s share = 3, 00,000 x 2/3 = 2, 00,000

Shyam’s share = 3, 00,000 x 1/3 = 1, 00,000

Q54. X and Y are partners in a firm sharing profits and losses in the ratio of 3:2. On 1^st April, 2026, they admit Z as a partner for 1/5^th share in profits. On that date, there was a balance of 1, 50,000 in General Reserve and a debit balance of 20,000 in the Profit & Loss Account of the firm. Pass necessary Journal entries regarding adjustment of reserve and accumulated profit/loss.

Solution – Journal Entry

Working Note:-

Calculation of Share of General Reserve:-

X’s share = 1, 50,000 x 3/5 = 90,000

Y’s share = 1, 50,000 x 2/5 = 60,000

Calculation of Share of Debit Balance in P & L A/c:-

X’s share = 20,000 x 3/5 = 12,000

Y’s Share = 20,000 x 2/5 = 8,0

Q55. Sunny and Ujjwal were partners in a firm sharing profits and losses in the ratio of 3 : 2. On 1^st April, 2024, Timmy was admitted as a new partner for 1/5^th share in profits which he acquired equally from Sunny and Ujjwal. On the date of Timmy’s admission, the Balance Sheet of Sunny and Ujjwal showed investments at Rs.5,00,000 and a balance of Rs.2,00,000. In Investment Fluctuation Reserve. Pass necessary Journal entires for treatment of Investment Fluctuation Reserve on the date of Timmy’s admission in each of the following cases:

Market value of Investment was Rs.5,00,000.
Market value of Investment was Rs.3,00,000.
Market value of Investment was Rs.2,00,000.

Solution –

Q56. (a) An extract of the Balance Sheet of Murari and Vohra sharing profits & Losses in the ratio of 3:2 was as under:

New Partner Krishna was admitted for 1/5^th share of profits. A claim on account of Workmen Compensation Reserve is estimated for 900. Pass the necessary Journal entries to adjust accumulated profits and losses.

(b) A, B and C were partners sharing profits and losses in the ratio of 6:3:1. They take D into partnership with effect from 1^st April, 2026. The new profit-sharing ratio between A, B, C and D will be 3:3:3:1. They also decide to record the effect of the following without affecting their book values, by passing an adjustment entry:

General Reserve 1, 50,000

Contingency Reserve 60,000

Profit & Loss A/c (Cr.) 90,000

Advertisement Suspense A/c (Dr.) 1, 20,000

Pass the necessary adjustment entry through the Partner’s Current Account.

Solution – Journal Entry

(b) A: B: C – 6:3:1

A: B: C: D – 3:3:3:1

Sacrificing Ratio = Opening Ratio – New Ratio

A = 6/10 – 3/10 = 3/10 sacrifice

B = 3/10 – 3/10 = NIL

C = 1/10 – 3/10 = -2/10 gain

D = 0 – 1/10 = -10/10 gain

A = 1, 50,000 X 3/10 – 54,000 (Cr)

C = 1, 80,000 X -2/10 – 36,000 (Dr)

D = 0 – 1/10 -1/10 X 1, 80,000 – 18,000 (Dr)

Journal Entry

Preparation on Revaluation Account and partner’s Capital Accounts

Q57. Amit and Anil are partners sharing profits and losses in the ration of 2:1. Their Balance Sheet as on 31st March, 2026 was as follows:

Ankit is admitted as a partner on the date of the Balance Sheet on the following terms:

Ankit will bring in 1,00,000 as his capital and 60,000 as his share of goodwill for 1/4th share in profits.
Machinery is to be appreciated to 1,20,000 and the value of building is to be appreciated by 10%.
Stock is found overvalued by 4,000.
General Reserve will continue to appear in the books of the reconstituted firm as its original value
A provision for Doubtful Debts is to be created at 5% of debtors.
Creditors were unrecorded t to the extent of 1,000.

Prepare Revaluation Account and partner’s Capital Accounts.

Dr. Revaluation A/c Cr.

Calculation of Treatment of General Reserve

Ankit share in General = 12000 x 1/4 = 3,000

Amit & Anil will share Ankit’s share in G.R in their sacrificing Ratio 2:1

Amit will Get = 3000 x 2/3 = 2,000

Anil will Get = 3000 x 1/3 = 1,000

Journal

Ankit’s capital A/c Dr. 3,000

To Amit’s capital A/c 20,000

To Anil’s capital A/c 1,000

(Being General Reserve Adjusted)

Balance Sheet of the New firm as at 1st April

Q58. Vimal and Nirmal are partners in a firm, sharing profits and losses In the ratio of 5:3. they admit kailash into the firm on 1st April, 2026, when their Balance Sheet was as follows:

Terms of Kailash’s admission were as follows:

Kailash will bring 30,000 as his share of capital and will be entitle to 1/3rd share in the profits.
Kailash is not to bring goodwill in cash.
Goodwill of the firm is valued on the basis of 2 year’s purchase of the average profit of the last three years. Average profit of the last three year’s is 6,000.
Machinery and stock are revalued at 45,000 and 8,000 respectively.
Rent of Rs.4,000 is outstanding.
An unrecorded accrued income of Rs.4,000 be provided for.

Prepare a Revaluation Account and partners Capital incorporating the above adjustments.

Solution:

Dr. Revaluation A/c Cr.

Calculation of New Profit Sharing Ratio

Old profit sharing Ratio of vimal & Nirmal in 5:3

Kailash admitted for 1/3^rd Share

Remaining share = 1 – 1/3 = 2/3 =

Vimal’s new share =2/3 x 5/8 = 10/24

Nirmal’s new share = 2/3 x 3/8 = 6/24

New Profit Sharing Ratio of After making base equal

= 10/24 : 6 /24 : 1/3 x 8/8

= 10: 6: 8

= 5:3:4

Calculation of the Goodwill of the firm

Goodwill of the firm

= Avg. profit of cost three years x 2 year purchase

= 6,000 x 2

= ₹ 12,000

For Raising the Goodwill

Goodwill A/c Dr. 12,000

To Vimal’s capital A/c 7,500

To Nirmal’s capital A/c 4,500

(Being Goodwill raised in 5 : 3)

For writing off the Goodwill

Vimal’s capital A/c Dr. 5,000

Nirmal’s capital A/c Dr. 3,000

Kailash current A/c Dr. 4,000

To Goodwill A/c 12,000

(Being Goodwill written off in new ratio 5:3:7)

Preparation of Capital Accounts and Balance Sheet:-

Q59. Gini, Bini and Mini are equal partners with capitals of 15,000; 17,500 and 20,000 respectively. They agree to admit Vini into equal partnership upon payment in cash 15,000 for 1/4^th share of the goodwill and 18,000 as his capital, both sums to remain in the business. The liabilities of the old firm were 30,000 and the assets, apart from cash, consist of Motors 12,000, Furniture 4,000, stock 26,500 and Debtors 37,800. The Motors and Furniture were revalued at 9,500 and 3,800 respectively. Pass Journal entries to give effect to the above arrangement and also show Balance Sheet of the new firm.

Solution –

Revaluation a/c

Working Notes:-

Opening balance sheet

Old ratio of X: Y: Z = 1:1:1

W is admitted for 1/4 share

Let total profit – 1

Remaining profit after W admission – 1 – 1/4 = ¾

X – 3/4 x 1/3 – 3/12

Y – 3/4 x 1/3 – 3/12

Z – 3/4 x 1/3 – 3/12

W – 1/4 x 3/3 – 3/12

Therefore share of X, Y, Z and W = 3:3:3:3 = 1:1:1:1

Sacrificing ratio = Old ratio – New ratio

X = 1/3 – 1/4 = 1/12

Y =1/3 – 1/4 = 1/12

Z = 1/3 – 1/4 = 1/12

Sacrificing ratio of X, Y, Z = 1:1:1

Q60. Following was the Balance Sheet of A & B, who was sharing profits in the ratio of 2:1 as at 31^st March, 2026:

They admit C into partnership on 1^st April, 2026 on the following terms:

C was to bring 7,500 as his capital and 3,000 as goodwill for 1/4^th share in the firm.
Value of the Stock and Plant and Machinery were to be reduced by 5%
A Provision for Doubtful Debts was to be created in respect of Sundry Debtors 375.
Building was to be appreciated by 10%

Pass necessary Journal entries to give effect to the arrangements. Prepare Profit & Loss Adjustment Account (or Revaluation Account), Partners Capital Accounts and Balance Sheet of the new firm.

Solution – Journal Entry

Dr Profit and Loss Adjustment Account Cr

Working Note:-

Sacrificing ratio- A: B – 2:1

Distribution of Premium for Goodwill (in sacrificing ratio)

A – 3,000 x 2/3 – 2,000

B – 3,000 x 1/3 – 1,000

Distribution of Profit from Profit and loss Adjustment Account (in old ratio)

A – 750 x 2/3 – 500

B – 750 x 1/3 – 250

Q61. Balance Sheet of J and K who share profits in the ratio of 3:2 is as follows:

Balance Sheet As at 31^st March, 2026

M joins the firm from 1^st April, 2026 for half share in the future profits. He is to pay 1,00,000 as goodwill and 3,00,000 for capital. Draft the Journal entries and prepare Balance Sheet in each of the following cases:

If M gets his share of profits in the profit-sharing ratio of the old partners.
If M gets his share of profits in equal proportion from the old partners.
If M gets his share of profits in the ratio of 3:1 from the old partners, determine the future profit-sharing ratio of the partners in each case.

Solution –

If M gets his share of profits in the profit-sharing ratio of the old partners

Journal Entry

Calculation of Future (New Profit Sharing Ratio)

Old Ratio – M: J – 3:2

M is admitted for 1/2 share of profit

Let the combined share of all partners after admission of M be – 1

Combined share of J & K after M’s admission – 1-M’s share = 1-1/2 = ½

New ratio = Old ratio – Combined share of B and C

J – 3/5 x 1/2 – 3/10

K – 2/5 x 1/2 – 2/10

New profit sharing ratio = J: K: M – 3:2:5

Distribution of premium for Goodwill (in sacrificing ratio)

J – 1, 00,000 X 3/5 – 60,000

K – 1, 00,000 X 2/5 – 40,000

Distribution of General Reserve (in old ratio)

J – 1, 00,000 X 3/5 – 60,000

K – 1, 00,000 X 2/5 – 40,000

b. If M gets his share of profits in equal proportion from the old partners.

Journal Entry

Calculation of Future (New Profit Sharing Ratio)

Old Ratio – J: K – 3:2

M is admitted for 1/2 share of profit

J & k each will sacrifice in favour of M = 1/2 x 1/2 = 1/4

New ratio = Old ratio – Sacrificing Ratio

J = 3/5 – 1/4 = 7/20

K = 2/5 – 1/4 = 3/20

New profit sharing ratio = J: K: M = 7:3:10

Sacrificing ratio = J: K = 1:1

Distribution of premium for Goodwill (in sacrificing ratio)

J = 1, 00,000 X 1/2 = 50,000

K = 1, 00,000 X 1/2 = 50,000

Distribution of General Reserve (in old ratio)

J = 1, 00,000 X 3/5 = 60,000

K = 1, 00,000 X 2/5 = 40,000

c. If M acquires his share of profit in ratio of 3:1 from the original partner

Journal Entry

d. Calculation of Future (New Profit Sharing Ratio)

Old Ratio – J: K – 3:2

M is admitted for 1/2 share of profit

J’s sacrificing ratio = 1/2 x 3/4 =2/8

K’s sacrificing ratio = 1/2 x 1/4 = 1/8

New ratio = Old ratio – Sacrificing Ratio

J – 3/5 – 3/8 – 9/40

K – 2/5 – 1/8 – 11/40

New profit sharing ratio = J: K: M – 9:11:20

Distribution of premium for Goodwill (in sacrificing ratio)

J – 1, 00,000 X 3/4 – 75,000

K – 1, 00,000 X 1/4 – 25,000

Distribution of Reserve (in old ratio)

J – 1, 00,000 X 3/5 – 60,000

K – 1, 00,000 X 2/5 – 40,000

Q62. Given below is the Balance Sheet of A & B on 31^st March, 2026, who is carrying on partnership business. A & B share profits and losses in the ratio of 2:1.

Balance Sheet of A & B as at 31^st March, 2026

C is admitted as a partner on 1^st April, 2026 on the following terms:

C will bring 1,00,000 as his capital and 60,000 as his share of goodwill for 1/4^th share in the profits.
Machinery is to be appreciated to 1,20,000 and the value of building is to be appreciated by 10%.
Stock is found overvalued by 4,000.
A provision for doubtful debts is to be created at 5% of sundry debtors.
Creditors were unrecorded to the extent of 1,000.

Pass the necessary Journal entries, prepare the Revaluation Account and Partners Capital Accounts and show the Balance Sheet after the admission of C.

Solution – Journal Entry

Q63. Balance Sheet of Madhu and Vidhi, who are sharing profits in the ratio of 2:3 as at 31^st March, 2016 is given below:

Madhu and Vidhi decided to admit Gayatri as a new partner from 1^st April, 2016 and their new profit-sharing ratio will be 2:3:5. Gayatri brought 4,00,000 as her capital and her share of goodwill premium in cash.

Goodwill of the firm was valued at 3,00,000.
Land and Building was found undervalued by 26,000.
Provision for Doubtful Debts was to be made equal to 5% of the debtors.
There was a claim of 6,000 on account of workmen compensation.

Prepare Revaluation Account, Partners Capital Accounts and the Balance Sheet of the reconstituted firm.

Solution –

Dr. Revaluation Account Cr

Working Note:

Calculation of Gayatri’s share of Goodwill

Gayatri share – 3, 00,000 x 5/10 – 1, 50,000 to be share in 2:3

Calculation of sacrificing ratio

Sacrificing ratio = old ratio – New Ratio

Madhu = 2/5 – 2/10 = 2/10

Vidhi = 3/5 – 3/10 = 3/10

64. On 31^st March 2019, the Balance Sheet of A and B, who were sharing profits in the ratio of 3:2 was as follows:

On 1^st April, 2019 they decided to admit C as a new partner for 1/5^th share in the profits on the following terms:

C brought Rs.1,00,000 as his capital and Rs.50,000 as his share of premium of goodwill.
Outstanding salaries of Rs.2,000 be provided for.
The market value of investment was Rs.50,000.
A debtor whose dues of Rs.18,000 were written off as bad debts paid Rs.12,000 in full settlement.

Prepare Revaluation Account, Partners’ Capital Accounts and the Balance Sheet of the new firm.

Solution –

Q65. X and Y share profits in the ratio of 5:3. Their Balance Sheet as at 31^st March, 2026 was:

They admit Z into partnership with 1/8^th share in profits on 1^st April, 2026. Z brings 20,000 as his capital and 12,000 for goodwill in cash. Z acquires his share from X. following revaluation are also made.

Employees Provident Fund liability is to be increased by 5,000.
All Debtors are good.
Stock includes 3,000 for obsolete items. Hence are to be written off.
Creditors are to be paid 1,000 more.
Fixed Assets are to be revalued at 70,000.

Prepare Journal entries, necessary accounts and new Balance Sheet. Also calculate new profit-sharing ratio.

Solution –

Dr Revaluation Account Cr

Working Note:-

Distribution of Revaluation Loss:-

X’s capital – 18,400 x 5/8 – 11,500

Y’s Capital – 18,400 x 3/8 – 6,900

Distribution Accumulated Loss:-

X’s Capital – 2,400 x 5/8 – 1,500

Y’s capital – 2,400 x 3/8 – 900

Distribution of Workmen Compensation Fund:-

X’s capital – 5,800 x 5/8 – 3,625

Y’s capital – 5,800 x 3/8 – 2,175

Calculation of New Profit Sharing Ratio:-

Z acquired 1/8^th share from X

New share of X – 5/8 – 1/8 – 4/8

New share of Y – 3/8

New share of Z – 1/8

New profit sharing ratio – 4:3:1

Q66. Rajesh and Ravi are partners sharing profits in the ratio of 3: 2. Their Balance sheet at 31^st March, 2026 stood as:

BALANCE SHEET as at 31^st March, 2022

Raman is admitted as a new partner introducing a capital of 16,000. The new profit-sharing ratio is decided as 5: 3: 2. Raman is unable to bring in any cash for goodwill. So, it is decided to value the goodwill on the basis of Raman’s Share in the profits and the capital contributed by him. Following revaluation is made:

Stock to decrease by 5%;
Provision for Doubtful Debts is to be 500;
Furniture to decrease by 10%;
Building is valued at 40,000.

Show Necessary Ledger Accounts & Balance Sheet of New firm.

Solution:-

Dr Revaluation Account Cr

Working Note:-

Calculation of Sacrificing Ratio:-

Old Ratio – 3:2

New ratio – 5:3:2

Sacrificing Ratio = Old Ratio – New Ratio

Rajesh’s – 3/5 – 5/10 = 1/10

Ravi’s – 2/5 – 3/10 = 1/10

Sacrificing ratio – 1:1

Calculation of Goodwill:-

Actual capital of all Partners before adjustment of goodwill – Rajesh Capital + Ravi’s Capital + Raman’s Capital

= 31,190 + 16,460 + 16,000 = 63,650

Capitalised value on the basis of Raman’s share – 16,000 x 10/2 – 80,000

Goodwill of the firm – Capitalised value of the firm – Actual capital of the firm (before adjustment of the goodwill)

= 80,000 – 63,650 = 16,350

Raman’s share of Goodwill – 16,350 x 2/10 – 3,270

Adjustment of Raman’s share of goodwill:-

Rajesh and Ravi each capital Accounts – 3,270 x 1/2 – 1,635

Journal

Distribution of Profit on Revaluation (in old ratio)

Rajesh – 3,650 x 3/5 – 2,190

Ravi – 3,650 x 2/5 – 1,460

Q67. Divya, Yasmin and Fatima are partners in a firm, Sharing Profits and losses in 11: 7: 2 respectively. The Balance Sheet of the Firm on 31^st March, 2018 was as follows:

On 1^st April, 2018, Aditya is admitted as a partner for one-fifth share in the profits with a capital of 4, 50,000 and necessary amount for his share of goodwill on the following terms;

Furniture of 2, 40,000 were to be taken over Divya, Yasmin and Fatima Equally.
A creditor of 7,000 not recoded in books to be taken into account.
Goodwill of the firm is to be valued at 2.5 years purchase of average profits of last two years. The profits of the last Three years were. 2015-16 -6,00,000; 2016-17 -2,00,000; 2017-18 -6,00,000;
At time of Aditya’s admission. Yasmin also brought in 50,000 as fresh capital.
Plant and Machinery is re-valued to 2, 00,000 and expenses outstanding were brought down to 9,000.

Prepare Revaluation Account, Partner’s Account and Balance Sheet of the reconstituted firm.

Solution:-

Dr Revaluation Account Cr

Working note:-

Calculation of Goodwill brought in by Aditya

Average Profits – (Normal profits from 31^st March, 2017 to 31^st March, 2018)/2

(2,00,000 + 6,00,000)/2 – 4,00,000

Goodwill – Average Profits X No. of years of Purchase

(4,00,000 x 2.5) – 10,00,000

Goodwill brought in by Aditya – (10, 00,000 x 1/5) – 2, 00,000

Balance Sheet As on March 31, 2018

Q68. A and B are Partner in a firm. Net profit of the firm is divided as follows; 1/2 to A, 1/3 to B and 1/6 carried to a Reserve. They admit C as partner on 1^st April, 2026 on which date, the Balance Sheet of the firm was;

Following are the required adjustment on admission of C.

C brings in 25,000 toward his capital.
C also brings in 5,000 for 1/5^th share of goodwill.
Stock is undervalued by 10%.
Creditors include a liability of 4,000, which has been decided by the court at 3,200.
In regard to the Debtors, the following Debts Proved bad or Doubtful-

2,000 Due from X-bad to the full extent;

4,000 due from Y-insolvent, estate expected to pay only 50%.

You are required to prepare Revaluation Account, Partners Capital Account and Balance Sheet of the new firm.

Solution:-

Dr Revaluation Account Cr

Working Notes:-

Old Ratio – 1/2: 1/3 – 3:2

Sacrificing Ratio – 3:2

Distribution of Reserve:-

A – 10,000 x 3/5 – 6,000

B – 10,000 x 2/5 – 4,000

Distribution of Premium for Goodwill:-

A – 5,000 x 3/5 – 3,000

B – 5,000 x 2/5 – 2,000

Adjustment of the Old Partners Capital on the Basis of New or Incoming Partners’ Capital:-

Q69. X and Y were partners in the profit-sharing ratio of 3:2. Their balance sheet as at 31^st March, 2022 was as follows:

Balance Sheet as at 31^st March, 2022

Z was admitted for 1/6^th share on the following terms:

Z will bring Rs.56,000 as his share of capital, but was not able to bring any amount to compensate the sacrificing partners.
Goodwill of the firm is valued at Rs.84,000.
Plant and Machinery were found to be undervalued by Rs.14,000 Building was to brought up to Rs.1,09,000.
All debtors are good.
Capital of X and Y will be adjusted on the basis of Z’s share and adjustments will be done by opening necessary current accounts.

You are required to prepare Revaluation Account and Partners’ Capital Accounts.

Solution-

Dr. Revaluation A/c Cr.

Working Notes

Calculation of partner’s Capital in New Firm

Total Capital of the Firm = Z’s Capital x Reciprocal of his share

= 56,000 x 6

= Rs.3,36,000

The Partners will maintain this Capital in their New Profit sharing ratio

X’s Capital in New firm = 3,36,000 x 3/6

= Rs.1,68,000

Y’s Capital in New firm = 3,36,000 x 2/6

= Rs.1,12,000

Z’s Capital in New firm = 3,36,000 x 1/6

= 56,000

Calculation of Partner’s Share in Goodwill

Z’s Premium for Goodwill = 84,000 x 1/6

= Rs.14,000

X & Y will share it in their Sacrificing Ratio i.e., 3:2

X will get = 14,000 x 3/5

= 8400

Y will get = 14,000 x 2/5

= 5600

Calculation of New profit sharing ratio

Old Ratio of X & Y = 3:2

Z admitted for 1/6the share

Remaining share = 1 – 1/6^th

= 5/6^th

This remaining share would be distributed in old partners in their profit sharing ratio i.e., 3:2

X’s New share = 5/6 x 3/5

= 15/30

Y’s New share = 5/6 x 2/5

= 10/30

New profit sharing ratio after making base equal

= 15/30 : 10/30 : 1/6 x 5/5

= 15 : 10 : 5

= 3 : 2 : 1

Q70. Subhi and Revanshi were partners in a firm sharing profits and losses in the ratio of 3:2. Their Balance Sheet as at 31^st March, 2023 was as follows:

On 1^st April, 2023 they admitted Pari into the partnership on the following terms:

Pari will bring Rs.50,000 as her capital and Rs.50,000 for her share of premium for goodwill for 1/4^th share in the profits of the firm.
Fixed assets were depreciated @ 30%.
Stock was valued at Rs.45,000.
Bank loan was paid off.
After all adjustment capitals of Shubhi and Revanshi were to be adjusted taking Pari’s capital as the base. Actual cash was to be paid off or brought in by the old partners as the case may be.

Prepare Revaluation Account and Partner’s Capital Accounts.

Solution –

Calculation of old partners’ capital in the new firm

Total capital of the firm = Pari’s capital x reciprocal of his share

= 50,000 x 4

= Rs.2,00,000

Shubhi’s capital in the new firm = 2,00,000 x 9/20 = Rs.90,000

Revanshi’s capital in the new firm = 2,00,000 x 6/20 = Rs.60,000

Calculation of new profit sharing ratio

Old profit sharing Ratio of shubhi and Revanshi = 3 : 2

Pari admitted for 1/4^th share

Remaining share = 1 – 1/4 = 3/4

Shubhi’s new share = ¾ x 3/5 = 9/20

Revanshi’s New share = ¾ x 2/5 = 6/20

New profit sharing ratio after making base equal

New profit sharing ratio of shubhi, Revanshi and Pari is = 9 : 6 : 5

Q71. Badal and Bijli were partners in a firm sharing profits in the ratio of 3:2. Their Balance Sheet as at 31^st March, 2019 was as follows:

Balance Sheet as on 31^st March, 2019 is given below:

Raina was admitted on the above date as a new partner for 1/6^th share in the profits of the firm. The terms of agreement were as follows:

Raina will bring 40,000 as her capital and capitals of Badal and Bijli will be adjusted on the basis of Raina’s capital by opening Current Accounts.
Raina will bring her share of goodwill premium for 12,000 in cash.
The building was overvalued by 15,000 and stock by 3,000.
A provision of 10% was to be created on debtor for bad debts.

Prepare the Revaluation Account and Current and Capital Accounts of Badal, Bijli and Raina.

Solution –

Dr. Revaluation Account Cr

Working Notes:-

Calculation of Sacrificing Ratio:-

Sacrifice = Old Profit Share – New Profit Share

Old Ratio of Badal and Bijli = 3:2

Share of Raina is 1/6

Calculation of new profit sharing ratio:-

Profit sharing ratio is 1/1

Remaining profit sharing ratio is 1/1 – 1/6 = 5/6

Share of Badal & Bijli in Remaining share

Badal = 5/6 x 3/5 = 15/30

Bijli = 5/6 x 2/5 = 10/30

New ratio – Badal: Bijli: Raina – 3:2:1

Goodwill for 1/6^th share of Raina = 12,000

Goodwill payable to Badal & Bijli

Badal = 12,000 x 3/5 – 7,200

Bijli = 12,000 x 2/5 – 4,800

Capital of the Partners in the New firm on the basis of Raina’s Capital:-

Raina’s capital – 40,000

Raina’s Share of Profit 1/6 for that he brings – 40,000

Total capital of the firm = 40,000 x 6/1 – 2, 40,000

Thus,

Badal’s Capital – 2, 40,000 x 3/6 – 1, 20,000

Bijli’s Capital = 2, 40,000 x 2/6 – 80,000

Raina’s Capital = 2, 40,000 x 1/6 – 40,000

Q72. Gautam and Yashica are partners in a firm, sharing profits and losses in 3:1 respectively. The Balance Sheet of the firm as on 31^st March, 2018 was as follows:

Balance Sheet as on 31^st March, 2022

Asma is admitted as a partner for 3/8^th share in the profits with a capital of 2,10,000 and 50,000 for her share of goodwill. It was decided that:

New profit-sharing ratio will be 3:2:3.
Machinery will depreciated by 10% and Furniture by 5,000.
Stock was revalued at 2,10,000.
Provision for Doubtful debts is to be created at 10% of debtors.
The capitals of all the partners were to be in the new profit-sharing ratio on basis of capital of new partner. Any adjustment to be done through Current Accounts.

Prepare Revaluation Account, Partners Capital Accounts and the Balance Sheet of the new firm.

Solution –

Dr Revaluation Account Cr

Working Notes:-

Calculation of old ratio & sacrificing ratio:-

Old ratio Gautam: Yashika = 3:1

New ratio Gautam: Yashika: Asma – 3:2:3

Sacrificing ratio = Old ratio – New ratio:-

Gautam = 3/4 – 3/8 = 6-3/8 = 3/8

Yashika = 1/4 – 2/8 = 2 – 2/8 = 0/8

Therefore sacrificing ratio of Gautam: Yashika = 3:0

Calculation of Capital:-

Total Capital of the new firm on the basis of new partner

Total capital new firm = 2, 10,000 x 8/3 – 5, 60,000

New capital of all partners:-

Gautam – 5, 60,000 x 3/8 – 2, 10,000

Yashika – 5, 60,000 x 2/8 – 1, 40,000

Asma – 5, 60,000 x 3/8 – 2, 10,000

Q73. Ishu and Vishu are partners sharing profit in the ratio of 3:2. Their Balance Sheet as at 31^st March, 2026 was as follows:

Nishu was admitted on that date for 1/6 share in the profit on the following terms:

Nishu will bring Rs.56,000 as his share of capital.
Goodwill of the firm is valued at Rs.84,000 and Nishu will bring his share of Goodwill in Cash.
Plant and Machinery be appreciated by 20%.
All debtors are good.
There is a liability of Rs.9,800 including in Sundry Creditors that is not likely to arise.
Capitals of ishu and Vishu will be adjusted on the basis in Nishu’s Capital and any excess of deficiency will be made by withdrawing or bringing in Cash by the concerned partner.

Prepare the Revaluation Account, Partners’ Capital Account and the Balance Sheet of the new firm.

Solution-

Dr. Revaluation A/c Cr.

Calculation of New profit sharing Ratio

Old Ratio = 3:2

Nishu admitted for = 1/6^th share

Remaining share = 1 – 1/6

= 5/6

Ishu’s share in new firm = 5/6 x 3/5

= 15/30

Vishu’s share in new firm = 5/6 x 2/5

= 10 / 30

New profit sharing Ratio after making base equal

= 15/30 : 10/30 : 1/6 x 5/5

= 15:10: 5

= 3:2:1

Calculation of Total Capital in New Firm

Total Capital of the Firm = Nishu’s Capital X reciprocal of his share

= 56,000 x 6

= 336000

Ishu’s Capital in New firm = 336000 x 3/6

= 168000

Vishu Capital in New firm = 336000 x 2/6

= 112000

When the New Partner is required to bring Proportionate Capital:-

Q74. Anshu and Vihu were partners in a firm sharing profits and losses in the ratio of 3:2. Their Balance Sheet as at 31^st March, 2023 was as follows:

On 1^st April, 2023 Mani and was admitted into partnership for 1/5^th share in the profits of the firm on the following terms:

Mani brought Rs.20,000 as her share of goodwill and proportionate capital.
Provisions for Doubtful Debts was to be maintained at 10% on debtors.
Market Value of investment was Rs.35,000.
The value of Plant and Machinery be increased by Rs.6,600.

Prepare Revaluation Account and Partner’s Capital Accounts.

Solution –

Calculation of proportionate capital of Mani

Combined adjusted capital of Anshu and Vihu = Anshu’s adjusted capital + Vihu’s adjusted capital

= 192000 + 112000

= 304000

Combined share of old partners = 1 – 1/5 = 4/5

Total capital of the new firm = combined adjusted capital of old partners x reciprocal of combined share

= 304000 x 5/4

= Rs.3,80,000

Mani’s capital in the new firm = 3,80,000 x 1/5 = Rs.76,000

Q75. Aryan and Adya were partners in a firm sharing profits and losses in the ratio of 3:1. Their Balance Sheet on 31^st March, 2024 was as follows:

On 1^st April, 2023 Mani and was admitted into partnership for 1/5^th share in the profits of the firm on the following terms:

Mani brought Rs.20,000 as her share of goodwill and proportionate capital.
Provisions for Doubtful Debts was to be maintained at 10% on debtors.
Market Value of investment was Rs.35,000.
The value of Plant and Machinery be increased by Rs.6,600.

Prepare Revaluation Account and Partner’s Capital Accounts.

Solution –

Working Note:

Adjusted combined capital of old partners = Rs.3,95,000 + 2,65,000

= Rs.6,60,000

Total capital of New Firm = Adjusted combined capital of old partners / combined share of profit of old partners

= 6,60,000 x 5/4

= 8,25,000

Dev’s proportionate capital = 8,25,000 x 1/5

= 1,65,000

Q76. Raman and Rohit were partners in a firm sharing profits and losses in the ratio of 2:1. On 31^st March, 2018, their Balance Sheet was as follows:

Balance Sheet of Raman & Rohit as on 31^st March, 2018

On the above date, Saloni was admitted in the partnership firm. Raman surrendered 2/5^th of his share and Rohit surrendered 1/5^th of his share in favour of Saloni. It was agreed that:

Plant and Machinery will be reduced by 35,000 and furniture and fixtures will be reduced to 58,500.
Provision for bad and doubtful debts will be increased by 3,000.
A Claim for 16,000 for workmen’s compensation was admitted.
A liability of 2,500 included in creditors is not likely to arise.
Saloni will bring 42,000 as her share of goodwill premium and proportionate capital.

Prepare Revaluation Account, Partners Capital Accounts and Balance Sheet of the reconstituted firm.

Solution –

Dr Revaluation Account Cr

Working Note:-

Calculation of Old and Sacrificing ratio:-

Old ratio Raman: Rohit – 2:1

Raman – 2/3 x 2/5 – 4/15

Rohit – 1/3 x 1/5 – 1/15

New Ratio of:-

Raman – 2/3-4/15 = 10-4/15 = 6/15

Rohit – 1/3-1/15 = 5-1/15 = 4/15

Saloni – 4/15 + 1/15 + 5/15

Therefore new ratio of Raman, Rohit and Saloni – 6:4:5

Sacrificing ratio – Old Ratio – New ratio

Raman – 2/3 – 6/15 = 10-6/15 = 4/15

Rohit – 1/3 – 4/15 = 5-4/15 = 1/15

Calculation of Capital of Raman and Rohit – 1, 61,600 + 1, 02,400 = 2, 64,000

Share of Raman and Rohit – 6/15 + 4/15 = 6+4/15 = 10/15

Therefore capital Raman, Rohit and Saloni

Saloni – 2, 64,000 x 15/10 – 3, 96,000

Saloni’s Capital – 3, 96,000 x 5/15 – 1, 32,000

When New Partner has to bring Capital on the basis of combined Capital of Old Partners:

Q77. On 31^st March, 2026 the Balance Sheet of Ram and Shyam who Share profits and losses in the ratio of 3:2 was as follows:

Balance Sheet of Ram & Shyam as on 31^st March, 2024

They decided to admit Mahesh on 1^st April, 2026 for 1/5^th share which Mahesh acquired wholly from Shyam on the following terms:

Mahesh shall bring 25,000 as his of premium for Goodwill.
A debtors whose dues of 7,500 were written off as bad debt paid 5,000 in settlement.
A claim of 12,500 on account of Workmen’s Compensation was to be provided for.
Machinery was undervalued by 5,000. Stock was valued 10% more than its market value.
Mahesh was to bring in capital equal to 20% of the combined capitals of Ram and Shyam after all adjustments.

Prepare Revaluation Account, Partners Capital Accounts and Balance Sheet of the new firm.

Solution –

Dr Revaluation Account Cr

Working Note:-

Calculation of Old and Sacrificing ratio:-

Old ratio of Ram and Shyam – 3:2

New ratio of:-

Ram – 3/5

Shyam – 2/5 – 1/5 = 2-1/5 = 1/5

Mahesh – 1/5

New ratio – 3:1:1

Sacrificing ratio of –

Ram – 3/5 – 3/5 = 3-3/5 = 0/5

Shyam – 2/5 – 1/5 = 2-1/5 = 1/5

Sacrificing ratio of Ram and Shyam – 0:1

Adjusted capital of Ram and Shyam – 1, 59,000 + 1, 31,000 – 2, 90,000

Mahesh’s Capital – 2, 90,000 x 20/100 = 58,000

Q78. Aan and Shan were partners sharing profits in the ratio of 3:2. Their Balance Sheet as at 31^st March, 2024 was as under:

They agreed to admit Mohan for Rs.1/4 share on the above date subject to the following terms:

Mohan to bring in capital equal to 1/4^th of the total capital of Aan and Shan after all adjustments including premium for goodwill.
Building to be appreciated by 20% and stock to be depreciated to 70%.
Provision for Doubtful Debts on Debtors to be raised to Rs.10,000.
A Provision be made for Rs.18,000 for outstanding legal charges.
Mohan’s share of goodwill premium was calculated as Rs.1,00,000.

Prepare the Revaluation Account, Partner’s Capital Accounts and the Balance Sheet of the new firm.

Solution-Dr. Revaluation A/c Cr

Working Notes:-

Calculation of Mohan’s Capital in New Firm

Total Adjusted capital of Aan & Shaan

= 883000 + 722000

= Rs.1605000

Mohan’s Capital in New Firm

= 1605000 x 1/4

= Rs.401250

4. Admission of a Partner

Leave a Reply Cancel reply

Services

Links

Contacts

4. Admission of a Partner

Leave a Reply Cancel reply

Sign in

Sign up