In a business partnership, A is the active partner and B is the dormant partner. A invests Rs.15,000 while B invests Rs.25,000. A receives 10% of the total profit as a management fee, and the remaining profit is shared according to their capital contributions. If the total profit amounts to Rs.9,600, how much does A earn in total?

Explanation

The ratio of A's and B's investments is 15,000:25,000, which simplifies to 3:5. A receives 10% of the total profit of Rs.9,600 as a management fee, which is Rs.960. The remaining profit is Rs.9,600 - Rs.960 = Rs.8,640. This remainder is divided between A and B in the ratio 3:5. A's share from this part is (3/8) × 8,640 = Rs.3,240. Therefore, A's total earnings equal the management fee plus the profit share, i.e., Rs.960 + Rs.3,240 = Rs.4,200.