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1. 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

Solution:

Assume that investment of C = x
Then, investment of A = 2x
Investment of B =

\frac{2 A}{3}

\frac{4 x}{3}

(since ratio of investment of A : B = 2 : 3 i.e B =

\frac{2 A}{3}

)
A : B : C
= 2x :

\frac{4 x}{3}

: x
= 2 :

\frac{4}{3}

: 1
= 6 : 4 : 3

\begin{aligned} B's Share \\ = 157300 \times \frac{4}{6 + 4 + 3} \\ = 157300 \times \frac{4}{13} \\ = 12100 \times 4 \\ = Rs . 48400 \end{aligned}

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