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1. A and B started a business jointly. A's investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B received Rs. 4000 as profit, then their total profit is ?

A. Rs. 16000

B. Rs. 20000

C. Rs. 24000

D. Rs. 28000

Solution:

Suppose B invested Rs. x for y months
Then, A invested Rs. 3x for 2y months

\begin{aligned} So, A : B \\ = (3 x \times 2 y) : (x \times y) \\ = 6 x y : x y \\ = 6 : 1 \\ ∴ B's profit : Total profit = 1 : 7 \\ Let the total profit is Rs . x \\ Then, \frac{1}{7} = \frac{4000}{x} \\ \Leftrightarrow x = 28000 \end{aligned}

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