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A, B and C were partners in a firm with a profit – sharing ratio of 5 : 9 : 15, respectively. If C retires and his share was distributed among A and B in the ratio 2 : 1, find the percentage change in the initial and final share of B.

A, B and C were partners in a firm with a profit – sharing ratio of 5 : 9 : 15, respectively. If C retires and his share was distributed among A and B in the ratio 2 : 1, find the percentage change in the initial and final share of B. Correct Answer 55.55%

n : The initial share of A = 5 / 29 The initial share of B = 9 / 29 The initial share of C = 15 / 29 After C’s retirement his share was distributed among A and B in the ratio 2 : 1. Let the ratios be in terms of X. The share of A, B and C = 5x, 9x and 15x The share of C for A = 15x * 2 / 3 = 10x The share of C for B = 15x * 1 / 3 = 5x The new share of A = 5x + 10x = 15x The new share of B = 9x + 5x = 14x The new share of B = 14x = 14 / 29 of the whole Change in share of B = 14 / 29 – 9 / 29 = 5 / 29 The percentage change = (5 / 29) / (9 / 29) * 100 = 500 / 9 = 55.55%

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