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Question

A, B & C partners in a firm sharing profits losses in the ratio of 4:3:2. B decided to retire from the firm. Calculate the new profit sharing ratio of A & C if B gives his share to A & C in the original ratio of A & C.

A
7:2
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B
25:11
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C
11:7
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D
2:1
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Solution

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

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