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      Question

      Three friends A, B and C entered into partnership by

      investing Rs. 40X, Rs. (5X + 1500) and Rs. (5000 – 10X) respectively. The ratio of the time period of A, B and C is 4 : 3 : 6 respectively. If the profit-sharing ratio of A, B and C is 24 : 21 : 116 respectively, then find the value of 20X.
      A 360 Correct Answer Incorrect Answer
      B 480 Correct Answer Incorrect Answer
      C 720 Correct Answer Incorrect Answer
      D 900 Correct Answer Incorrect Answer
      E 1440 Correct Answer Incorrect Answer

      Solution

      Let the time period of A, B and C be 4a, 3a and 6a respectively.
      Profit sharing ratio of A, B and C = 40X × 4a : (5X + 1500) × 3a : (5000 – 10X) × 6a
      ATQ,
      (40X × 4a)/((5X + 1500) × 3a) = 24/21
      => (160X)/(15X + 4500) = 24/21

      21 × 160X = 24(15X + 4500)
      3360X = 360X + 108000
      3000X = 108000
      X = 36
      Required value = 20 × 36 = 720

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