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    Question

    Three friends A, B and C entered into partnership by

    investing Rs. 10X, Rs. (2X + 62) and Rs. (2000 – 5X) 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 12 : 8 : 391 respectively, then find the value of 20X.
    A 90 Correct Answer Incorrect Answer
    B 120 Correct Answer Incorrect Answer
    C 180 Correct Answer Incorrect Answer
    D 240 Correct Answer Incorrect Answer
    E 300 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 = 10X × 4a : (2X + 62) × 3a : (2000 – 5X) × 6a
    ATQ,
    (10X × 4a)/((2X + 62) × 3a) = 12/8
    => (40X)/(6X + 186) = 12/8

    8 × 40X = 12(6X + 186)
    320X = 72X + 2232
    248X = 2232
    X = 9
    Required value = 20 × 9 = 180

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