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In a business, A and C invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by A and B was 3 : 2 . If Rs. 157300 was their profit, how much amount did B receive?

A. Rs. 48000 B. Rs. 48200 C. Rs. 48400 D. Rs. 48600 Answer: Option C
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Solution(By Apex Team)

Assume that investment of C = x Then, investment of A = 2x Investment of B = $\Large\frac{2 A}{3}=\frac{4 x}{3}$ (since ratio of investment of A : B = 2 : 3 i.e B = $\Large\frac{2 \mathrm{~A}}{3}$) $\begin{aligned}&A:B:C\\ &=2x:\frac{4x}{3}:x\\ &=2:\frac{4}{3}:1\\ &=6:4:3\end{aligned}$ $\begin{aligned}&\text{B’s share}\\ &=157300\times\frac{4}{6+4+3}\\ &=157300\times\frac{4}{13}\\ &=12100\times4\\ &=\text{ Rs. }48400\end{aligned}$

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