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Change in Profit Sharing Ratio(PSR)

A, B C are ...

Question

A, B & C are partners sharing profits & losses in the ratio of 3:2:1.B retired from the firm. Partners A & C decided to take his share in 3:1 ratio. What is the new ratio of the partners A & C?

A

3:2

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B

3:1

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C

3:7

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D

2:1

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Solution

The correct option is B 3:1
Old ratio ( A, B and C) = 3 : 2 : 1
Share of B = 2/6
Share of B taken by A = (2/6) * (3/4) = 3/12
share of B taken by C = (2/6) * (1/4) = 1/12
New ratio = Old ratio + Share taken from B
A's new share = (3/6) + (3/12) = 9/12
C's new share = (1/6) + (1/12) = 3/12
Therefore, new share of A and c is 9 : 3 or 3 : 1

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