Question
Deepak, Mohit, and Sneha started a business with initial
investments in the ratio 3:4:6 respectively. After one year, Sneha, Deepak, and Mohit made additional investments in the ratio 5:3:2 respectively. Deepak is the active working partner, so 10% of the profit is given to him for managing the business, and the rest is distributed among them in the ratio of their investments. Find the profit share of Deepak out of the total profit of Rs. 4,000 after two years.Solution
According to the question: Initial investments of Deepak, Mohit, and Sneha: Rs. 3x, Rs. 4x, and Rs. 6x respectively. Additional investments of Sneha, Deepak, and Mohit: Rs. 5y, Rs. 3y, and Rs. 2y respectively. Ratio of their profits: (3x + 3y):(4x + 2y):(6x + 5y) = (6x + 3y):(8x + 2y):(11x + 5y) Profit share of Deepak for being an active working partner = 0.10 × 4000 = Rs. 400 Profit share of Deepak for his investment = 0.90 × 4000 × (6x + 3y)/(25x + 10y) = Rs. 960 Total amount of profit received by Deepak = 400 + 960 = Rs. 1360
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