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      Question

      'A' and 'B' invested (x + 40) and (x - 80) rupees,

      respectively, in a business. After one year, they made additional investments of Rs. 520 and Rs. 120, respectively. At the end of the second year, the total profit was Rs. 6,000, of which 'A' received Rs. 3,750. Determine the ratio of the initial investments made by A to B.
      A 4:3 Correct Answer Incorrect Answer
      B 6:5 Correct Answer Incorrect Answer
      C 9:7 Correct Answer Incorrect Answer
      D 8:7 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Ratio of profit share of A to B = [x + 40 + x + 40 + 520]:[x – 80 + x – 80 + 120] = (2x + 600):(2x – 40)

      According to question;

      (2x + 600)/(2x – 40) = 3750/2250 = 5/3

      Or, 6x + 1800 = 10x – 200

      Or, 4x = 2000

      Or, x = 500

      Desired ratio = (500 + 40):(500 – 80) = 540:420 = 9:7

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