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Question

A,B,C and D were partners in a firm sharing in 5:3:2:2 ratio. B and C retired from the firm. Bs share was acquired by D and Cs share was acquired by A. Calculate new profit-sharing ratio of A and D.

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Solution

Old ratio (A, B, C and D) = 5: 3: 2: 2
B's profit share = 3/12
C's profit share = 2/12
B's share was acquired by D and C's share was acquired by A.
Therefore, D's new share = D's old share + Share of B = 2/12 +3/12 = 5/12

A's new share = A's old share + Share of C = 5/12 + 2/12 = 7/12
New profit share (A and D) = 7: 5


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