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?
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Step-by-step explanation:
Let's calculate the share of B in the profit. For a business, the profit is divided among the partners in the ratio of their investments. The investment of A is Rs. 6500 for 6 months, so his investment can be calculated as 6500 * 6 = Rs. 39000. Similarly, the investment of B is Rs. 8400 for 5 months, so his investment can be calculated as 8400 * 5 = Rs. 42000. The investment of C is Rs. 10000 for 3 months, so his investment can be calculated as 10000 * 3 = Rs. 30000.
The total investment of A, B and C is Rs. (39000 + 42000 + 30000) = Rs. 111000.
A is a working member and receives 5% of the total profit, which is equal to (5/100) * 7400 = Rs. 370.
The remaining profit is Rs. (7400 - 370) = Rs. 7030, which is to be divided among A, B and C in the ratio of their investments.
The share of B in the profit is (42000/111000) * 7030 = **Rs.2670**.
So, B's share in the profit is Rs.2670.