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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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