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      Question

      Ram, Rahim, and Raman started a business by investing in

      the ratio of 4:7:10, respectively. After one year, they each made additional investments: Ram added Rs. 4,000, Rahim added Rs. 4,500, and Raman added Rs. 5,000. At the end of two years, the total profit was Rs. 5,310, and Ram’s share of the profit was Rs. 1,180. Determine Rahim’s initial investment.
      A Rs. 4,550 Correct Answer Incorrect Answer
      B Rs. 5,250 Correct Answer Incorrect Answer
      C Rs. 5,850 Correct Answer Incorrect Answer
      D Rs. 7,150 Correct Answer Incorrect Answer
      E cannot be determined Correct Answer Incorrect Answer

      Solution

      Let the initial investments of Ram, Rahim and Raman be Rs. 4x, Rs. 7x and Rs. 10x, respectively. So, the ratio of their investments = 4x + 4x + 4000: 7x + 7x + 4500: 10x + 10x + 5000 = 8x + 4000: 14x + 4500: 20x + 5000 According to question: (8x + 4000)/(42x + 13500) = 1180/5310 (4x + 2000)/(21x + 6750) = 2/9 36x + 18000 = 42x + 13500 6x = 4500 x = 750 So, the initial investment of Rahim = 7 × 750 = Rs. 5,250

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