Three partners A, B, and C enter into a partnership. A contributes Rs. 6500 for 6 months, B contributes Rs. 8400 for 5 months, and C invests Rs. 10000 for 3 months. A is the working partner and receives 5% of the total profit for this role. What is C's portion of the total profit amounting to Rs. 7400?

Explanation

First, calculate the weighted investments based on capital and time: A = 6500 × 6 = 39000, B = 8400 × 5 = 42000, C = 10000 × 3 = 30000. The ratio of their investments is 39000:42000:30000 or 26:28:20. Since A receives 5% of the total profit as a working partner, the remaining profit to be shared is 95% of Rs. 7400, which is Rs. 7030. C’s share is then (20 / (26 + 28 + 20)) × 7030 = (20 / 74) × 7030 = Rs. 1900.