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A, B, C and D are partners in a firm sharing profits and losses in the ratio of 2 : 2 : 1 : 1. They decided to share future profits and losses in the ratio of 3 : 2 : 2 : 3.

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Question

A, B, C and D are partners in a firm sharing profits and losses in the ratio of 2 : 2 : 1 : 1. They decided to share future profits and losses in the ratio of 3 : 2 : 2 : 3. For this purpose goodwill of the firm valued at ₹ 1,50,000. There was also a reserve of ₹ 60,000 in the books of the firm.

Find out sacrifice ratio and gaining ratio and pass necessary journal entry assuming that reserve is not to be distributed.

Journal Entry
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Solution

Journal Entry
Date Particulars L.F. Dr. ₹ Cr. ₹
  C's Capital A/c   ...Dr.   7,000  
D's Capital A/c   ...Dr.   28,000  
     To A's Capital A/c     7,000
     To B's Capital A/c     28,000

Working note:

Old ratio:

A : B : C : D = 2 : 2 : 1 : 1

New ratio:

A : B : C : D = 3 : 2 : 2 : 3

1. Sacrifice/Gain

A

`2/6 - 3/10 = 1/3 - 3/10 = (10 - 9)/30 = 1/30` Sacrifice

B

`2/6 - 2/10 = 1/3 - 1/5 = 2/15` Sacrifice

C

`1/6 - 2/10 = 1/6 - 1/5 = -1/30`

`1/30` Gain

D

`1/6 - 3/10 = 5/30 - 9/30 = -4/30`

`2/15` Gain

Therefore:

Sacrificing Ratio of A : B = 1 : 4​

Gaining Ratio of C : D = 1 : 4

2. Goodwill Adjustment

Goodwill = ₹ 1,50,000

A's sacrifice:

`1,50,000 xx 1/30 = 5,000`

B's sacrifice:

`1,50,000 xx 2/15 = 20,000`

Therefore C and D compensate A and B:

C = ₹ 5,000

D = ₹ 20,000

3. Reserve Adjustment

Reserve = ₹ 60,000, but it is not to be distributed.

Adjustment according to gain/sacrifice:

A:

`60,000 xx 1/30 = 2,000` Cr.

B:

`60,000 xx 2/15 = 8,000` Cr.

C:

`60,000 xx 1/30 = 2,000` Dr.

D:

`60,000 xx 2/15 = 8,000` Dr.

Combined Adjustment
Partner Goodwill ₹ Reserve ₹ Total ₹
A Cr. 5,000 Cr. 2,000 Cr. 7,000
B Cr. 20,000 Cr. 8,000 Cr. 28,000
C Dr. 5,000 Dr. 2,000 Dr. 7,000
D Dr. 20,000 Dr. 8,000 Dr. 28,000
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Chapter 2: Change in Profit Sharing Ratio among the Existing Partners - PRACTICAL QUESTIONS [Page 2.82]

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D. K. Goel Accountancy Part A Volume 1 and 2 [English] Class 12
Chapter 2 Change in Profit Sharing Ratio among the Existing Partners
PRACTICAL QUESTIONS | Q 40. (A) | Page 2.82
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