Class 12 Accountancy Vol 1 Chapter 6 - Retirement/Death of a Partner

TS Grewal Solutions for Class 12 Accountancy Vol 1 Chapter 6

TS Grewal Solutions for Class 12 Accountancy Chapter 6 – Retirement/Death of a Partner is a fundamental concept to be learned by the students. Here, we have provided TS Grewal Accountancy solutions for class 12 in a simple and a step by step method, which is beneficial for the students to score well in their upcoming board exams.

Board CBSE
Class Class 12
Subject Accountancy
Chapter Chapter 6
Chapter Name Retirement/Death of a Partner
Number of questions solved 06
Category TS Grewal

Chapter 6 – Retirement/Death of a Partner explains the below-mentioned concepts:

  • Adjustment for Revaluation of Assets and Liabilities
  • New profit sharing and gaining ratio
  • Adjustment of the partners capital and death of a partner
  • Treatment of Goodwill

Question 1

A, B and C were partners sharing profits in the ratio of \(\frac{1}{2}\), \(\frac{2}{5}\) and \(\frac{1}{10}\). Find the new ratio of the remaining partners if C retires.

Solution:

Old Ratio A : B :C = \(\frac{1}{2}\) : \(\frac{2}{5}\) : \(\frac{1}{10}\) or 5 : 4 : 1

Since there is no information on how A and B acquired C’s profit share after his retirement. So, A and B new profit sharing ratio will be evaluated by crossing out C’s share.

A’s share = \(\frac{1}{2}\) X \(\frac{5}{5}\) = \(\frac{5}{10}\)

B’s share = \(\frac{2}{5}\) X \(\frac{2}{2}\) = \(\frac{4}{10}\)

Therefore, the new profir ratio of A : B will be 5 : 4

Question 2

From the following particulars, calculate the new profit-sharing ratio of the partners:

(a) Shiv, Mohan and Hari were partners in a firm sharing profits in the ratio of 5: 5: 4. Mohan retired and his share was divided equally between Shiv and Hari.

(b) P, Q and R were partners sharing profits in the ratio of 5: 4: 1. P retires from the firm.

Solution:

(a) Old Ratio Shiv: Mohan: Hari = 5: 5 :4

The profit share of Mohan = \(\frac{5}{14}\)

Mohan share equally divided between Shiv and Hari 1: 1

Mohan share taken by Shiv = \(\frac{5}{14}\) X \(\frac{1}{2}\) = \(\frac{5}{28}\)

Mohan share taken by Hari = \(\frac{5}{14}\) X \(\frac{1}{2}\) = \(\frac{5}{28}\)

New Profit Share = Old profit share + Shares taken by Mohan

Shiv’s new share = \(\frac{5}{14}\) + \(\frac{5}{28}\) = \(\frac{10+5}{28}\) = \(\frac{15}{28}\)

Hari’s new share = \(\frac{4}{14}\) + \(\frac{5}{28}\) = \(\frac{8+5}{28}\) = \(\frac{13}{28}\)

Shiv and Hari new profit ratio = 15 : 13

(b) P : Q : R old share 5 : 4 : 1

P’s profit share \(\frac{5}{10}\)

Since, no information on how Q and R acquired P’s profit share after his retirement, so Q and R new profit sharing ratio is evaluated just by crossing out P’s share.

Therefore, New Profit Ratio Q: R = 4:1

Question 3

R, S and M are partners sharing profits in the ratio of 2/5, 2/5 and 1/5. M decides to retire from the business and his share is taken by R and S in the ratio of 1: 2. Calculate the new profit-sharing ratio.

Solution:

Old Ratio R: S: M = 2: 2: 1

M retires from the company.

M’s profit share = \(\frac{1}{5}\)

R’s and S’s share taken by M in ratio 1: 2

Share taken by R = \(\frac{1}{5}\) X \(\frac{1}{3}\) = \(\frac{1}{15}\)

Share taken by S= \(\frac{1}{5}\) X \(\frac{2}{3}\) = \(\frac{2}{15}\)

New Ratio = Old Ratio + Share taken from M

R’s new share = \(\frac{2}{5}\) + \(\frac{1}{15}\) = \(\frac{6+1}{15}\) = \(\frac{7}{15}\)

S’s new share = \(\frac{2}{5}\) + \(\frac{2}{15}\) = \(\frac{6+2}{15}\) = \(\frac{8}{15}\)

R and S new profit ratio = 7 : 8

Question 4

A, B and C were partners sharing profits in the ratio of 4 : 3 : 2. A retires, assuming B and C will share profits in the ratio of 2 : 1. Determine the gaining ratio.

Solution:

Old ratio A : B : C = 4 : 3 : 2

New ratio B : C = 2 : 1

Gaining ratio = New ratio – Old ratio

B’s Gaining ratio = \(\frac{2}{3}\) – \(\frac{3}{9}\) = \(\frac{6}{9}\) – \(\frac{3}{9}\) = \(\frac{3}{9}\)

C’s Gaining ratio = \(\frac{1}{3}\) – \(\frac{2}{9}\) = \(\frac{3}{9}\) – \(\frac{2}{9}\) = \(\frac{1}{9}\)

So, Gaining ratio B : C = 3 : 1

Question 5

X, Y and Z are partners sharing profits in the ratio of \(\frac{1}{2}\), \(\frac{3}{10}\), and \(\frac{1}{5}\). Calculate the gaining ratio of remaining partners when Y retires from the firm.

Solution:

Old ratio X: Y: Z = \(\frac{1}{2}\) : \(\frac{3}{10}\) : \(\frac{1}{5}\) = \(\frac{5 : 3 : 2}{10}\)

After Y’s retirement the ratio of X and Z would be 5 : 2

Gaining ratio = New ratio – Old ratio

X’s Gaining ratio = \(\frac{5}{7}\) – \(\frac{5}{10}\) = \(\frac{15}{70}\)

Z’s Gaining ratio = \(\frac{2}{7}\) – \(\frac{2}{10}\) = \(\frac{6}{70}\)

Gaining ratio of X and Z will be = \(\frac{15}{70}\) : \(\frac{6}{70}\) = \(\frac{15 : 6}{70}\) or 5: 2

Question 6

(a) W, X, Y and Z are partners sharing profits and losses in the ratio of 1/3, 1/6, 1/3 and 1/6 respectively. Y retires and W, X and Z decide to share the profits and losses equally in future.

Calculate gaining ratio.

(b) A, B, and C are partners sharing profits and losses in the ratio of 4: 3: 2. C retires from the business. A is acquiring 4/9 of C’s share and balance is acquired by B. Calculate the new profit-sharing ratio and gaining ratio.

Solution:

(a) Old ratio W: X: Y: Z = \(\frac{1}{3}\) : \(\frac{1}{6}\) : \(\frac{1}{3}\) : \(\frac{1}{6}\) or 2: 1: 2: 1

New ratio W: X: Z = 1: 1: 1

Gaining ratio = New ratio – Old ratio

W’s Gaining ratio = \(\frac{1}{3}\) – \(\frac{2}{6}\) = \(\frac{2-2}{6}\) = 0

X’s Gaining ratio = \(\frac{1}{3}\) – \(\frac{1}{6}\) = \(\frac{2-1}{6}\) = \(\frac{1}{6}\)

Z’s Gaining ratio = \(\frac{1}{3}\) – \(\frac{1}{6}\) = \(\frac{2-1}{6}\) = \(\frac{1}{6}\)

So, Gaining ratio = 0: 1: 1

(b) Old Ratio A: B: C = 4 : 3 : 2

Profit Share of C’s = \(\frac{2}{9}\) \(\frac{4}{9}\) of C’s share is acquired by A and the left share is acquired by B

A acquired share = \(\frac{2}{9}\) X \(\frac{4}{9}\) = \(\frac{8}{81}\)

B acquired share = C’s share – Share acquired by A

= \(\frac{2}{9}\) – \(\frac{8}{81}\) = \(\frac{10}{81}\)

A’s new share = \(\frac{4}{9}\) + \(\frac{8}{81}\) = \(\frac{36+8}{81}\) = \(\frac{44}{81}\)

B’s new share = \(\frac{3}{9}\) + \(\frac{10}{81}\) = \(\frac{27+10}{81}\) = \(\frac{37}{81}\)

So, A and B new ratio will be = 44: 37

Gaining ratio = New ratio – Old ratio

A’s Gaining ratio = \(\frac{44}{81}\) – \(\frac{4}{9}\) = \(\frac{44-36}{81}\) = \(\frac{8}{81}\)

B’s Gaining ratio = \(\frac{37}{81}\) – \(\frac{3}{9}\) = \(\frac{37-27}{81}\) = \(\frac{10}{81}\)

So, Gaining ratio will be = 8: 10 or 4: 5

Question 7

Kumar, Lakshya, Manoj and Naresh are partners sharing profits in the ratio of 3 : 2 : 1 : 4. Kumar retires and his share is acquired by Lakshya and Manoj in the ratio of 3 : 2. Calculate new profit-sharing ratio and gaining ratio of the remaining partners.

Solution:

\(\frac{3}{10}\) of Kumar’s share acquired by Lakshya and Manoj in 3: 2 ratio

Lakshya acquired share = \(\frac{3}{10}\) X \(\frac{3}{5}\) = \(\frac{9}{50}\)

Manoj acquired share = \(\frac{3}{10}\) X \(\frac{2}{5}\) = \(\frac{6}{50}\)

Lakshya new share = \(\frac{2}{10}\) + \(\frac{9}{50}\) = \(\frac{19}{50}\)

Manoj new share = \(\frac{1}{10}\) + \(\frac{6}{50}\) = \(\frac{11}{50}\)

Naresh retained share = \(\frac{4}{10}\) or \(\frac{20}{50}\)

The new profit sharing ratio between Manoj, Lakshya, and naresh will be 19: 11: 20

Question 8

A, B, and C were partners in a firm sharing profits in the ratio of 8 : 4 : 3. B retires and his share is taken up equally by A and C. Find the new profit-sharing ratio

Solution:

Old Ratio A: B: C = 8 : 4 : 3

B retires from the firm and his profit share is = \(\frac{4}{15}\)

A and C took B’s share in 1 : 1 ratio

A acquired share = \(\frac{4}{15}\) X \(\frac{1}{2}\) = \(\frac{4}{30}\) = \(\frac{2}{15}\)

C acquired share = \(\frac{4}{15}\) X \(\frac{1}{2}\) = \(\frac{4}{30}\) = \(\frac{2}{15}\)

New Ratio = Old ratio + Share acquired from B

A’s new share = \(\frac{8}{15}\) + \(\frac{2}{15}\) = \(\frac{10}{15}\)

B’s new share = \(\frac{3}{15}\) + \(\frac{2}{15}\) = \(\frac{5}{15}\)

New profit sharing ratio between A and C is \(\frac{10}{15}\) : \(\frac{5}{15}\) or 2: 1

Question 9

A, B, and C are partners sharing profits in the ratio of 5 : 3 : 2. C retires and his share is taken by A. Calculate new profit-sharing ratio of A and B.

Solution:

Old Ratio A: B: C = 5 : 3 : 2

C retires from the firm and profit share is \(\frac{2}{10}\)

A acquires entire C’s share

New Ratio = Old Ratio + Share acquired from C

A’s new ratio = \(\frac{5}{10}\) + \(\frac{2}{10}\) = \(\frac{7}{10}\)

B’s = \(\frac{3}{10}\)

So, the new ratio between A: B will be 7: 3

Question 10

P, Q and R are partners sharing profits in the ratio of 7 : 5 : 3. P retires and it is decided that the profit-sharing ratio between Q and R will be the same as existing between P and Q. Calculate New profit-sharing ratio and Gaining Ratio.

Solution:

Old Ratio = P: Q : R = 7: 5: 3

New ratio between Q: R = 7: 5

Gaining Ratio = New Ratio – Old Ratio

Q’s Gaining ratio = \(\frac{7}{12}\) – \(\frac{5}{15}\) = \(\frac{35 – 20}{60}\) = \(\frac{15}{60}\)

R’s Gaining ratio = \(\frac{5}{12}\) – \(\frac{3}{15}\) = \(\frac{25 -12}{60}\) = \(\frac{13}{60}\)

So, Gaining ratio will be = 15: 13

Question 11

Murli, Naveen and Omprakash are partners sharing profits in the ratio of 3/8, 1/2 and 1/8. Murli retires and surrenders 2/3rd of his share in favour of Naveen and remaining share in favour of Omprakash. Calculate new profit-sharing ratio and gaining ratio of the remaining partners.

Solution:

Old Ratio=3: 4: 1

Murali’s retires with share \(\frac{3}{8}\) \(\frac{2}{3}\) share is surrendered by Murli in the favour of Naveen

Naveen acquired share = \(\frac{3}{8}\) X \(\frac{2}{3}\) = \(\frac{2}{8}\)

Remaining share acquired by Omprakash = \(\frac{3}{8}\) – \(\frac{2}{8}\) = \(\frac{1}{8}\)

Gaining ratio = \(\frac{2}{8}\) : \(\frac{1}{8}\) = 2:1

New Ratio = Old ratio + Share acquired from B

Naveen new share = \(\frac{4}{8}\) + \(\frac{2}{8}\) = \(\frac{6}{8}\)

Omprakash new share = \(\frac{1}{8}\) + \(\frac{1}{8}\) = \(\frac{2}{8}\)

New profit sharing ratio between Naveen and Omprakash will be \(\frac{6}{8}\) : \(\frac{2}{8}\) = 3: 1

Question 12

A, B and C are partners in a firm sharing profits and losses in the ratio of 4 : 3 : 2. B decides to retire from the firm. Calculate new profit-sharing ratio of A and C in the following circumstances:

(a) If B gives his share to A and C in the original ratio of A and C.

(b) If B gives his share to A and C in equal proportion.

(c) If B gives his share to A and C in the ratio of 3 : 1.

(d) If B gives his share to A only.

Solution:

Old Ratio A: B: C = 4 : 3 : 2

B retires from the firm and his profit share is = \(\frac{3}{9}\)

(a) If B gives his share to A and C in the original ratio of A and C

Original ratio A : C = 4 : 2

A acquired share = \(\frac{3}{9}\) X \(\frac{4}{6}\) = \(\frac{12}{54}\)

C acquired share = \(\frac{3}{9}\) X \(\frac{2}{6}\) = \(\frac{6}{54}\)

New ratio = Old ratio + Share acquired from B

A’s new share = \(\frac{4}{9}\) + \(\frac{12}{54}\) = \(\frac{24+12}{54}\) = \(\frac{36}{54}\)

C’s new share = \(\frac{2}{9}\) + \(\frac{6}{54}\) = \(\frac{12+6}{54}\) = \(\frac{18}{54}\)

New profit sharing ratio between A and C = \(\frac{36}{54}\) : \(\frac{18}{54}\) or 2: 1

(b) If B gives his share to A and C in equal proportion

A acquired share = \(\frac{3}{9}\) X \(\frac{1}{2}\) = \(\frac{3}{18}\)

C acquired share = \(\frac{3}{9}\) X \(\frac{1}{2}\) = \(\frac{3}{18}\)

New ratio = Old ratio + Share acquired from B

A’s new share = \(\frac{4}{9}\) + \(\frac{3}{18}\) = \(\frac{8+3}{18}\) = \(\frac{36}{54}\)

C’s new share = \(\frac{2}{9}\) + \(\frac{3}{18}\) = \(\frac{4+3}{18}\) = \(\frac{7}{18}\)

New profit sharing ratio between A and C = 11: 7

(c) If B gives his share to A and C in the ratio of 3 : 1

A acquired share = \(\frac{3}{9}\) X \(\frac{3}{4}\) = \(\frac{9}{36}\)

C acquired share = \(\frac{3}{9}\) X \(\frac{1}{4}\) = \(\frac{3}{36}\)

New ratio = Old ratio – Share acquired from B

A’s new share = \(\frac{4}{9}\) – \(\frac{9}{36}\) = \(\frac{16+9}{36}\) = \(\frac{25}{36}\)

C’s new share = \(\frac{2}{9}\) – \(\frac{3}{36}\) = \(\frac{8+3}{36}\) = \(\frac{11}{36}\)

New profit sharing ratio between A and C = 25 : 11

(d) If B gives his share to A only

A’s new share = Old share of A + Share of B

= \(\frac{4}{9}\) + \(\frac{3}{9}\) = \(\frac{7}{9}\)

C’s new share = \(\frac{2}{9}\)

New profit sharing ratio between A and C = 7 : 2

Question 13

L, M and O are partners sharing profits and losses in the ratio of 4 : 3 : 2. M retires and the goodwill is valued at ₹ 72,000. Calculate M’s share of goodwill and pass the Journal entry for Goodwill. L and O decided to share the future profits and losses in the ratio of 5 : 3.

Solution:

Journal

Particulars

L.F.

Debit ₹

Credit ₹

L’s Capital A/c

Dr.

13,000

O’s Capital A/c

Dr.

11,000

To M’s Capital A/c

(Being adjustment of M’s goodwill share)

24,000

Working Note 1: Gaining Ratio Evaluation

Old Ratio L : M : O = 4 : 3 : 2

M retires from the firm

New Ratio between L : O = 5 : 3

Gaining Ratio
New Ratio − Old Ratio

L’s share = \(\frac{5}{8}\) – \(\frac{4}{9}\) = \(\frac{45-32}{72}\) = \(\frac{13}{72}\)

O’s share = \(\frac{3}{8}\) – \(\frac{2}{9}\) = \(\frac{27-16}{72}\) = \(\frac{11}{72}\)

Gaining ratio between L and O = 13: 11

Working Note 2: Goodwill Evaluation

Firm’s Goodwill = ₹ 72,000

M’s goodwill= 72,000 X \(\frac{3}{9}\) = ₹ 24,000

This goodwill share will be debited from remaining Partners’ Capital A/c in 13 : 11 gaining ratio

Debited amount from L’s Capital A/c = 24,000 X \(\frac{13}{24}\) = ₹ 13,000

Debited amount from O’s Capital A/c = 24,000 X \(\frac{131}{24}\) = ₹ 11,000

Question 14

P, Q, R and S were partners in a firm sharing profits in the ratio of 5 : 3 : 1 : 1. On 1st January, 2019, S retired from the firm. On S’s retirement, goodwill of the firm was valued at ₹ 4,20,000. New profit-sharing ratio among P, Q and R will be 4 : 3 : 3.

Showing your working notes clearly, pass necessary Journal entry for the treatment of goodwill in the books of the firm on S’s retirement.

Solution:

Journal

Date

Particulars

L.F.

Debit ₹

Credit ₹

1st Jan.

R’s Capital A/c

Dr.

84,000

To P’s Capital A/c

42,000

To S’s Capital A/c

42,000

(Being goodwill adjusted)

Working Notes 1: Gaining Ratio Evaluation

Gaining Ratio = New Ratio – Old Ratio

P’s share = \(\frac{4}{10}\) – \(\frac{5}{10}\) = – \(\frac{1}{10}\) (Sacrificing)

Q’s share = \(\frac{3}{10}\) – \(\frac{3}{10}\) = 0

R’s share = \(\frac{3}{10}\) – \(\frac{1}{10}\) = \(\frac{2}{10}\)

Working Note 2: Goodwill Evaluation

P’s Goodwill share = 4,20,000 X \(\frac{1}{10}\) = ₹ 42,000

Q’s Goodwill share = 4,20,000 X \(\frac{2}{10}\) = ₹ 84,000

R’s Goodwill share = 4,20,000 X \(\frac{1}{10}\) = ₹ 42,000

Question 15

Aparna, Manisha and Sonia are partners sharing profits in the ratio of 3 : 2 : 1. Manisha retired and the goodwill of the firm is valued at ₹ 1,80,000. Aparna and Sonia decided to share future profits in the ratio of 3 : 2. Pass necessary Journal entries.

Solution:

Journal

Date

Particulars

L.F.

Aparna’s Capitals A/c

Dr.

18,000

Sonia’s Capital A/c

Dr.

42,000

To Manisha’s Capital A/c

60,000

(Being Manisha’s goodwill share adjusted to Aparna’s and Sonia’s Capital A/c as per their gaining ratio)

Working Notes 1: Manisha’s Goodwill Share Evaluation

Manisha’s share = Firm’s Goodwill X Manisha’s Profit Share

Manisha’s share=1,80,000 X \(\frac{1}{3}\) = ₹ 60,000

Working Notes 1: Gaining Ratio Evaluation

Gaining ratio = New Ratio – Old Ratio

Arpana’s gain = \(\frac{3}{5}\) – \(\frac{3}{6}\) = \(\frac{3}{10}\)

Sonia’s gain = \(\frac{2}{5}\) – \(\frac{1}{6}\) = \(\frac{7}{30}\)

Gaining ratio = 3:7

Working Note 2: Goodwill Evaluation

Arpana’s Goodwill share = 60,000 X \(\frac{3}{10}\) = ₹ 18,000

Sonia’s Goodwill share = 60,000 X \(\frac{7}{10}\) = ₹ 42,000

Question 16

A, B and C are partners sharing profits in the ratio of 3 : 2 : 1. B retired and the new profit-sharing ratio between A and C was 2 : 1. On B’s retirement, the goodwill of the firm was valued at ₹ 90,000. Pass necessary Journal entry for the treatment of goodwill on B’s retirement.

Solution:

Journal

Particulars

L.F.

Debit ₹

Credit ₹

A’s Capital A/c

Dr.

15,000

C’s Capital A/c

Dr.

15,000

To B’s Capital A/s

30,000

(Being adjustment made on B’s goodwill share)

Working Notes 1: Gaining Ratio Evaluation

Old Ratio A: B: C = 3 : 2 : 1

B retires from the firm.

New Ratio A : C = 2 : 1

Gaining Ratio = New Ratio − Old Ratio

A’s share = \(\frac{2}{3}\) – \(\frac{3}{6}\) = \(\frac{4-3}{6}\) = \(\frac{1}{6}\)

C’s share = \(\frac{1}{3}\) – \(\frac{1}{6}\) = \(\frac{2-1}{6}\) = \(\frac{1}{6}\)

Gaining ratio = 1:1

Working Notes 2 : Goodwill Adjustment

Form Goodwill = ₹ 90,000

B’s Goodwill share = 90,000 X \(\frac{2}{6}\) = ₹ 30,000

This goodwill share will be debited from remaining Partners’ Capital A/c in 1:1 gaining ratio

Debited amount from A’s Capital A/c = 30,000 X \(\frac{1}{2}\) = ₹ 15,000

Debited amount from C’s Capital A/c = 30,000 X \(\frac{1}{2}\) = ₹ 15,000

Question 17

Hanny, Pammy and Sunny are partners sharing profits in the ratio of 3 : 2 : 1. Goodwill is appearing in the books at a value of ​₹ 60,000. Pammy retires and at the time of Pammy’s retirement, goodwill is valued at ₹ 84,000. Hanny and Sunny decided to share future profits in the ratio of 2 : 1. Record the necessary Journal entries.

Solution:

Journal

Date

Particulars

L.F.

Debit ₹

Credit ₹

Hanny’s Capital A/c

Dr.

30,000

Pammy’s Capital A/c

Dr.

20,000

Sunny’s Capital A/c

10,000

To Goodwill A/c

60,000

(Being written-off old goodwill in old ratio)

Hanny’s Capital A/c

Dr.

14,000

Sunny’s Capital A/c

Dr.

14,000

To Pammy’s Capital A/c

28,000

(Being goodwill adjustment in gaining ratio)

Working Notes 1: Pammy’s Goodwill Share Evaluation

Pammy’s share = Goodwill of the firm X Pammy’s Profit Share

= 84,000 X \(\frac{2}{6}\) = ₹ 28,000 (to be borne by gaining partners in gaining ratio)

Working Notes 2: Gaining Ratio Evaluation

Harry’s gaining ratio = \(\frac{3}{5}\) – \(\frac{3}{6}\) = \(\frac{1}{6}\)

Sunny’s gaining ratio = \(\frac{1}{3}\) – \(\frac{1}{6}\) =\(\frac{1}{6}\)

Gaining Ratio = 1:1

Question 18

X, Y and Z are partners sharing profits in the ratio of 3 : 2 : 1. Goodwill is appearing in the books at a value of ₹ 60,000. Y retires and at the time of Y’s retirement, goodwill is valued at ₹ 84,000. X and Z decided to share future profits in the ratio of 2 : 1. Pass the necessary Journal entries through Goodwill Account.

Solution:

Journal

Date

Particulars

L.F.

Debit ₹

Credit ₹

X’s Capital A/c

Dr.

30,000

Y’s Capital A/c

Dr.

20,000

Z’s Capital A/c

Dr.

10,000

To Goodwill A/c

Being goodwill written off)

60,000

X’s Capital A/c

Dr.

14,000

Z’s Capital A/c

Dr.

14,000

28,000

To Y’s Capital A/c

28,000

(Being goodwill adjustment of Y)

Working Notes 1 : Gaining Ratio Evaluation

Old Ratio X : Y : Z = 3 : 2 : 1

New Ratio X : Z = 2 : 1

Gaining Ratio = New Ratio – Old Ratio

X’s gaining ratio = \(\frac{2}{3}\) – \(\frac{3}{6}\) = \(\frac{1}{6}\)

Z’s gaining ratio = \(\frac{1}{3}\) – \(\frac{1}{6}\) = \(\frac{1}{6}\)

Gaining ratio of X and Z = 1 : 1

Working Notes 2 : Goodwill Share Evaluation in 3:2:1 ratio

X’s share of goodwill=84,000 x \(\frac{3}{6}\) = ₹ 42,000

Y’s share of goodwill=84,000 x \(\frac{2}{6}\) = ₹ 28,000

Z’s share of goodwill=84,000 x \(\frac{1}{6}\) = ₹ 14,000

Working Notes 3 : Retiring Partner’s Goodwill Share Evaluation

X and Z will acquire the goodwill share of Y in 2 :1 gaining ratio

Debited amount from X’s Capital A/c = 84,000 X \(\frac{2}{3}\) = ₹ 56,000

Debited amount from Z’s Capital A/c = 84,000 X \(\frac{1}{3}\) = ₹ 28,000

Question 19

A, B and C are partners sharing profits in the ratio of \(\frac{4}{9}\) : \(\frac{3}{9}\) : \(\frac{2}{9}\). B retires and his capital after making adjustments for reserves and gain (profit) on revaluation stands at ₹ 1,39,200. A and C agreed to pay him ₹ 1,50,000 in full settlement of his claim. Record necessary Journal entry for adjustment of goodwill if the new profit-sharing ratio is decided at 5 : 3.

Solution:

Journal

Date

Particulars

L.F.

Debit ₹

Credit ₹

A’s Capital A/c

Dr.

5,850

C’s Capital A/c

Dr.

4,950

To B’s Capital A/c

10,800

(Being goodwill adjustment of B)

Working Notes 1 : B’s Goodwill Share Evaluation

Profit sharing ratio of A: B: C = \(\frac{4}{9}\) : \(\frac{3}{9}\) : \(\frac{2}{9}\)

B retires from the firm and other partners agreed to pay him ₹ 1,50,000

After making necessary adjustments B’s capital amounting ₹1,39,200

Hidden goodwill = 1,50,000 – 1,39,200 = ₹ 10,800

Working Notes 2 : Gaining Ratio Evaluation

New profit sharing ratio between A : B is 5 : 3

Gaining Ratio = New Ratio – Old Ratio

A’s gaining ratio = \(\frac{5}{8}\) – \(\frac{4}{9}\) = \(\frac{13}{72}\)

C’s gaining ratio = \(\frac{3}{8}\) – \(\frac{2}{9}\) = \(\frac{11}{72}\)

Gaining ratio of A and C= 13 : 11

Working Notes 3 : B’s Goodwill Share Evaluation

A and C will acquire the goodwill share of B in 13 :11 gaining ratio

Debited amount from A’s Capital A/c = 10,800 X \(\frac{13}{24}\) = ₹ 5,850

Debited amount from C’s Capital A/c = 10,800 X \(\frac{11}{24}\) = ₹ 4,950

Question 20

M, N and O are partners in a firm sharing profits in the ratio of 3 : 2 : 1. Goodwill has been valued at ₹ 60,000. On N’s retirement, M and O agree to share profits equally. Pass the necessary Journal entry for treatment of N’s share of goodwill.

Solution:

Journal

Date

Particulars

L.F.

Debit ₹

Credit ₹

O’s Capital A/c

Dr.

20,000

To N’s Capital A/c

20,000

(Being adjustment of N’s goodwill share)

Working Notes 1 : Gaining Ratio Evaluation

Old Ratio M : N : O = 3 : 2 : 1

New Ratio M : O =1:1

Gaining Ratio = New Ratio – Old Ratio

M’s gaining ratio = \(\frac{1}{2}\) – \(\frac{3}{6}\) = \(\frac{3-3}{6}\) = 0

O’s gaining ratio = \(\frac{1}{2}\) – \(\frac{1}{6}\) = \(\frac{3-1}{6}\) = \(\frac{2}{6}\)

Gaining ratio is only received by O in \(\frac{2}{6}\) ratio

Working Notes 2 : Retiring Partner’s Goodwill Share Evaluation

Goodwill share of N = 60,000 X \(\frac{2}{6}\) = ₹ 20,000

N’s share of goodwill will be brought by O only.

So, only O’s Capital Account will be debited with ₹ 20,000

The above-provided solutions are considered to be the best solutions for ‘TS Grewal Solutions Class 12 Accountancy Vol 1 Chapter 6 – Retirement/Death of a Partner’. Stay tuned to BYJU’S to learn more and score well in the upcoming board examinations.

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