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Question

A, B and C are partners with profit sharing ratio 4 :3 :2. B retires and Goodwill Rs. 30,000 was shown in books of account. If A & C share profits of B in 5 : 3,then find the new profit sharing ratio.

A
47:25
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B
17:11
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C
31:11
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D
14:21
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Solution

The correct option is A 47:25
Old ratio ( A, B and C) = 4 : 3 : 2
B's profit share = 3/9 or 1/3
A and C decided to take his share in the ratio of 5 : 3
Share of B taken by A = (1/3) * (5/8) = 5/24
Share of B taken by C = (1/3) * (3/8) = 1/8 or 3/24
New profit sharing ratio = Old ratio + Share taken from B
A's new share = (4/9) + (5/24) = 47/72
C's new share = (2/9) + (1/8) = 25/72
Therfore, new profit share = 47 : 25

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