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1. A, B and C are three partners. They altogether invested Rs. 14000 in business. At the end of the year, A got Rs. 337.50, B Rs. 1125 and C Rs. 637.50 as profit. The difference between the investments of B and A was ?

A. Rs. 2200

B. Rs. 3200

C. Rs. 4200

D. Rs. 5250

Solution:

Ratio of investments of A, B and C = Ratio of their profits

\begin{aligned} = 337.50 : 1125 : 637.50 \\ = 9 : 30 : 17 \\ ∴ A's investment \\ = Rs . (14000 \times \frac{9}{56}) \\ = Rs. 2250 \\ B's investment \\ = Rs . (14000 \times \frac{30}{56}) \\ = Rs. 7500 \\ Hence, required difference \\ = Rs . (7500 - 2250) \\ = Rs. 5250 \end{aligned}

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