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Question

A,B & C Care sharing profits in 4:3:2 ratio. B retires. In A & C shares 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 share = 3/9
Share of B taken by A = (3/9) * (5/8) = 5/24
Share of B taken by C = (3/9) * (3/8) = 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) - (3/24) = 25 : 72
Therefore, new profit sharing ratio of A and C = 47 : 25

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