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    Question

    Three friends A, B and C entered into partnership by

    investing Rs. 50X, Rs. (10X + 1250) and Rs. (7000 – 15X) 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 20 : 18 : 159 respectively, then find the value of 20X.
    A 200 Correct Answer Incorrect Answer
    B 400 Correct Answer Incorrect Answer
    C 500 Correct Answer Incorrect Answer
    D 1250 Correct Answer Incorrect Answer
    E 1000 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 = 50X × 4a : (10X + 1250) × 3a : (7000 – 15X) × 6a
    ATQ,
    (50X × 4a)/((10X + 1250) × 3a) = 20/18
    => (200X)/(30X + 3750) = 20/18

    18 × 200X = 20(30X + 3750)
    3600X = 600X + 75000
    3000X = 75000
    X = 25
    Required value = 20 × 25 = 500

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