A, B, and C started a business together. A invested Rs. 6000 for 5 months, B invested Rs. 3600 for 6 months, and C invested Rs. 7500 for 3 months. If the total profit earned is Rs. 7410, what is A's share of the profit?

Explanation

To determine each partner's share, calculate their investment multiplied by the time period: A = 6000 × 5 = 30000, B = 3600 × 6 = 21600, C = 7500 × 3 = 22500. The ratio of their investments is 30000 : 21600 : 22500, which simplifies to 100 : 72 : 75. The total parts are 247. A's share of the profit is (100/247) × 7410 = Rs. 3000.