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Question
A, B, C are partners sharing profits and losses in the ratio of 4/9: 1/3: 2/9. B retires and surrenders 1/9th from his share in favour of A and remaining in support of C. The new profit sharing ratio will be ______.
A, B, C are partners sharing profits and losses in the ratio of 4/9: 1/3: 2/9. B retires and surrenders 1/9th from his share in favour of A and remaining in support of C. The new profit sharing ratio will be ______.
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Solution
The correct option is A 13 : 8
Old ratio (A, B and C) = 4/9 : 1/3 : 2/9 B's share = 1/3Share of B taken by A = (1/3) * (1/9) = 1/27Share of B taken by C = (1/3) * (2/9) = 2/27New ratio = Old profit share + share taken from BA = (4/9) + (1/27) = 13/27C = (2/9) + (2/27) = 8/27Therefore, new ratio of A : C = 13 : 8
Old ratio (A, B and C) = 4/9 : 1/3 : 2/9
B's share = 1/3
Share of B taken by A = (1/3) * (1/9) = 1/27
Share of B taken by C = (1/3) * (2/9) = 2/27
New ratio = Old profit share + share taken from B
A = (4/9) + (1/27) = 13/27
C = (2/9) + (2/27) = 8/27
Therefore, new ratio of A : C = 13 : 8
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