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A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.

a) Rs. 2840
b) Rs. 1900
c) Rs. 2660
d) Rs. 2800

Answer: c
Explanation:
For managing, A received = 5% of Rs. 7400 = Rs. 370.
Balance = Rs. (7400 – 370) = Rs. 7030.
Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3)
= 39000 : 42000 : 30000
= 13 : 14 : 10
$$\eqalign{ & \therefore {\text{ B’s Share}} \cr & = {\text{Rs}}{\text{. 7030}} \times \frac{{14}}{{37}} \cr & = {\text{Rs}}{\text{. 2660}} \cr} $$

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