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A, B and C were partners in a firm with the profit – sharing ratio 9 : 8 : 10. If B retires in a new year and his share was distributed among a and C in the ratio 1 : 3, find the new profit – sharing ratio of A and C.

A, B and C were partners in a firm with the profit – sharing ratio 9 : 8 : 10. If B retires in a new year and his share was distributed among a and C in the ratio 1 : 3, find the new profit – sharing ratio of A and C. Correct Answer 11 : 16

n : Let the shares be in terms of X. The share of A = 9x The share of B = 8x The share of C = 10x B retired in a new year and his share was distributed among A and C in the ratio 1 : 3. B’s share given to A = 8x / 4 * 1 = 2x B’s share given to C = 8x / 4 * 3 = 6x The new share of A = 9x + 2x = 11x The new share of C = 10x + 6x = 16x The new profit – sharing ratio among A and B = 11 : 16

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