Question
Three individuals, S, V, and G, started a business
together. S contributed 2/5 of the total investment, V contributed 4/7, and the remaining amount was invested by G. Both S and V kept their investments in the business for 6 months each. At the end of the year, V earned a profit of Rs. 20,000. What was the total profit earned by all three partners?Solution
Let the total amount invested by 'S', 'V' and 'G' be Rs. '35x' So, the amount invested by 'S' = 35x X (2/5) = Rs. '14x' The amount invested by 'V' = 35x X (4/7) = Rs. '20x' So, the amount invested by 'G' = (35x - 14x - 20x) = Rs. 'x' The ratio of profit of 'S', 'V' and 'G' respectively, = {14x X 6 + 20x X 6 + x X 12} = 7:10:1 Let the profit shares of 'S', 'V' and 'G' be '7a', '10a' and 'a', respectively. 10a = 20,000 So, 'a' = 2,000 Therefore, total profit = (7a + 10a + a) = 18a = 18 X 2000 = Rs. 36,000
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