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      Question

      Three friends, A, B, and C, invested in a business in

      the ratio of 3:5:7. After 8 months, A reduced his investment by one-third, while B doubled his investment. At the end of 12 months, the total profit earned was Rs. 73,500. Calculate the share of profit received by each friend.
      A 12,000, 30,000, 31,500 Correct Answer Incorrect Answer
      B 12,000, 26,000, 32,500 Correct Answer Incorrect Answer
      C 12,500, 27,500, 31,500 Correct Answer Incorrect Answer
      D 12,000, 24,000, 33,500 Correct Answer Incorrect Answer
      E none Correct Answer Incorrect Answer

      Solution

      Let the invested money by A, B and C are 3x, 5x and 7x Ratio of their shares = 8×3x + 4×2x : 8×5x + 4×10x : 12×7x = 32x: 80x: 84x = 8: 20: 21 8y+20y+21y = 73,500 49y = 73,500 y = 1500 profit received by A, B and C = 8y, 20y, 21y = 12,000, 30,000, 31,500.

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