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### Question

During the first 3 months the investments of A and B were in the ratio 3:19. For the remaining months the investments were in the ratio 19:3. What will be the share of A in an annual profit of Rs. 13200?

**A**

Rs. 9000.

**B**

Rs. 9100.

**C**

Rs. 8900.

**D**

Rs. 9200.

**Soln.**

**Ans: a**

The profits are shared in the ratio of money-months contributed by the partners. Money-months contributed by A are 3 × 3 + 9 × 19 = 180, whereas those by B are 3 × 19 + 9 × 3 = 84. The ratio of these money-months is 15:7. This is the ratio in which the profits would be divided. A's share = 13200 × $15/{15 + 7}$ = Rs. 9000.