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      Question

      Three friends A, B and C entered into partnership by

      investing Rs. 25X, Rs. (5X + 20) and Rs. (100 – 2X) 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 100 : 75 : 588 respectively, then find the value of 20X.
      A 10 Correct Answer Incorrect Answer
      B 20 Correct Answer Incorrect Answer
      C 40 Correct Answer Incorrect Answer
      D 100 Correct Answer Incorrect Answer
      E 200 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 = 25X Γ— 4a : (5X + 20) Γ— 3a : (100 – 2X) Γ— 6a
      ATQ,
      (25X Γ— 4a)/((5X + 20) Γ— 3a) = 100/75
      => (100X)/(15X + 60) = 100/75

      75 Γ— 100X = 100(15X + 60)
      7500X = 1500X + 6000
      6000X = 6000
      X = 1
      Required value = 20 Γ— 1 = 20

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