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A, B and C are three partners in a business. The profit share of A is $\Large\frac{3}{16}$ of the total profit and B’s share is $\Large\frac{1}{4}$ 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 Answer: Option C
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Solution(By Apex Team)

$\begin{array}{l}\text{Let total profit}=16\ \text{units}\\ \text{According to the question,}\\ \text{Profit share of A}\\ =\frac{3}{16}\times16\ \text{units}\\ =3\ \text{units}\\ \text{Profit share of B}\\ =\frac{1}{4}\times16\ \text{units}\\ =4\ \text{units}\\ \text{Then profit share of C}\\ =\left[16-\left(4+3\right)\right]=9\ \text{units}\\ \text{But profit of C}=\text{Rs. 243 (given)}\\ \text{9 units}=\text{Rs. 243}\\ \text{1 unit}=\text{Rs. 27}\\ \text{Profit share of B}\\ =4\ \text{units}\\ =27\times4\\ =\text{Rs. 108}\end{array}$

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