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?

Answer: Option C

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