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### Question

During the first 1 months the investments of A and B were in the ratio 5:13. For the remaining months the investments were in the ratio 13:5. What will be the share of A in an annual profit of Rs. 37800?

**A**

Rs. 25900.

**B**

Rs. 26000.

**C**

Rs. 25800.

**D**

Rs. 26100.

**Soln.**

**Ans: a**

The profits are shared in the ratio of money-months contributed by the partners. Money-months contributed by A are 1 × 5 + 11 × 13 = 148, whereas those by B are 1 × 13 + 11 × 5 = 68. The ratio of these money-months is 37:17. This is the ratio in which the profits would be divided. A's share = 37800 × $37/{37 + 17}$ = Rs. 25900.