Question
Ravi, Sohan, and Meera started a business with initial
investments in the ratio 4:6:9 respectively. After one year, Meera, Ravi, and Sohan made additional investments in the ratio 3:4:2 respectively. In this business, Ravi is an active working partner, so 25% 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 Ravi out of the total profit of Rs. 3,000 after two years.Solution
According to the question: Initial investments of Ravi, Sohan, and Meera: Rs. 4x, Rs. 6x, and Rs. 9x respectively. Additional investments of Meera, Ravi, and Sohan: Rs. 3y, Rs. 4y, and Rs. 2y respectively. Ratio of their profits: (4x + 4y):(6x + 2y):(9x + 3y) = (8x + 4y):(12x + 2y):(18x + 3y) Profit share of Ravi for being an active working partner = 0.25 × 3000 = Rs. 750 Profit share of Ravi for his investment = 0.75 × 3000 × (8x + 4y)/(38x + 9y) = Rs. 750 Total amount of profit received by Ravi = 750 + 750 = Rs.1500
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