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      Question

      Three friends A, B and C entered into partnership by

      investing Rs. 15X, Rs. (3X + 26) and Rs. (1000 – 6X) 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 5 : 4 : 247 respectively, then find the value of 20X.
      A 30 Correct Answer Incorrect Answer
      B 20 Correct Answer Incorrect Answer
      C 40 Correct Answer Incorrect Answer
      D 80 Correct Answer Incorrect Answer
      E 60 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 = 15X × 4a : (3X + 26) × 3a : (1000 – 6X) × 6a
      ATQ,
      (15X Ă— 4a)/((3X + 26) Ă— 3a) = 5/4
      => (60X)/(9X + 78) = 5/4

      4 Ă— 60X = 5(9X + 78)
      240X = 45X + 390
      195X = 390
      X = 2
      Required value = 20 Ă— 2 = 40

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