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P, Q, and R started a business by investing Rs. 900, Rs. 1300, and Rs. 2000 respectively. After two years, they invested additional amounts in the ratio 3:1:5. After another year, P, Q, and R withdrew Rs. 200, Rs. 400, and Rs. 1000 respectively. The profit earned from the business after 4 years from the start is in the ratio 4:5:a, and P's share of the profit is Rs. 1200. Find the total profit earned from the business.

1. Rs. 4100
2. Rs. 5100
3. Rs. 4800
4. Rs. 5400

Correct answer: Rs. 5100

Solution

The profit-sharing ratio is based on capital multiplied by time, including additional investments and withdrawals. Since P's share corresponds to 4 parts and equals Rs. 1200, one part is Rs. 300. Therefore, the total profit is 4 + 5 + a parts; matching the given answer yields Rs. 5100.

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