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      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?
      A Rs. 45,000 Correct Answer Incorrect Answer
      B Rs. 36,000 Correct Answer Incorrect Answer
      C Rs. 30,000 Correct Answer Incorrect Answer
      D Rs. 54,000 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      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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