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1. A, B and C are three partners in a business. The profit share of A is $\frac{3}{16}$ of the total profit and B's share is $\frac{1}{4}$ of the total profit. If C receives Rs. 243, then the amount received by B will be ?

A. Rs. 90

B. Rs. 96

C. Rs. 108

D. Rs. 120

Solution:

\begin{aligned} Let total profit = 16 units \\ According to the question, \\ Profit share of A \\ = \frac{3}{16} \times 16 units \\ = 3 units \\ profit share of B \\ = \frac{1}{4} \times 16 = 4 units \\ then profit share of C \\ = [16 - (4 + 3)] = 9 units \\ But profit of C = Rs . 243 (given) \\ 9 units = Rs . 243 \\ 1 unit = Rs . 27 \\ Profit share of B \\ = 4 units \\ = 27 \times 4 \\ = Rs . 108 \end{aligned}

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