Raghav, Kunal and Mohit started a business by investing in the ratio of 5 : 4 : 6 respectively. After 3 months, Raghav withdrew an amount equal to 1/5 of the total amount invested by Kunal and Mohit together. If Raghav received Rs 1260 as profit at the end of the year, find the difference between the profit shares of Kunal and Mohit.

ATQ, Let the investments of Raghav, Kunal and Mohit be 5x, 4x and 6x. Raghav invested 5x for the first 3 months. Amount invested by Kunal and Mohit together = 4x + 6x = 10x. Raghav withdrew 1/5 of 10x. Withdrawn amount = 10x × 1/5 = 2x. Raghav’s remaining investment = 5x − 2x = 3x. This remaining 3x was invested for the next 9 months. Raghav’s capital-months = 5x × 3 + 3x × 9 Raghav’s capital-months = 15x + 27x = 42x. Kunal’s capital-months = 4x × 12 = 48x. Mohit’s capital-months = 6x × 12 = 72x. Profit ratio = 42x : 48x : 72x Profit ratio = 42 : 48 : 72 Divide by 6: Profit ratio = 7 : 8 : 12 Raghav’s profit share = 7 parts = Rs 1260 So, 1 part = 1260/7 = Rs 180 Difference between profit shares of Kunal and Mohit = 12 parts − 8 parts = 4 parts Required difference = 4 × 180 = Rs 720