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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

Answer: d
Explanation: Suppose B invested Rs. x for y months
A invested Rs. 3x for 2y months
$$\eqalign{ & {\text{A}}:{\text{B}} = \left( {3x \times 2y} \right):\left( {x \times y} \right) \cr & = 6xy:xy \cr & = 6:1 \cr & {\text{B’s profit}}:{\text{Total profit}} = 1:7 \cr & {\text{Let the total profit is Rs}}{\text{. }}x \cr & \frac{1}{7} = \frac{{4000}}{x} \cr & x = 28000 \cr} $$

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