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    Question

    'X', 'Y' and 'Z' jointly opened a company by investing Rs.

    2,400, Rs. 3,600, and Rs. 4,800 respectively. After 4 months, 'Y' withdrew Rs. 600. If the total profit at the end of the year was Rs. 3,220, find the profit share of 'X'.
    A Rs.500 Correct Answer Incorrect Answer
    B Rs.610 Correct Answer Incorrect Answer
    C Rs.744 Correct Answer Incorrect Answer
    D Rs.780 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,
    Ratio of profit shares of 'X', 'Y', and 'Z' at the end of one year = (2400 × 12) : {(3600 × 4) + (3000 × 8)} : (4800 × 12)

    = 28800 : (14400 + 24000) : 57600

    = 28800 : 38400 : 57600

    = 3 : 4 : 6

    So, profit share of 'X' = 3220 × (3/13) = Rs. 744

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