A invests Rs.1200 in a business from the beginning of the year. B and C join later, investing after 3 months and 6 months respectively. At the end of the year, the profit is shared in the ratio 2:3:5 among A, B, and C. What is the amount invested by B?

Explanation

Since A invests Rs.1200 for 12 months, the investment-months for A is 1200 * 12 = 14400. Let B's investment be x, and since B joins after 3 months, B invests for 9 months, so investment-months for B is x * 9. The profit ratio for A and B is 2:3, so 14400 : 9x = 2 : 3. Solving for x gives x = Rs.2400.