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    Question

    X and Y invested Rs. 2,500 and Rs. 4,500 respectively in a

    startup. After 9 months, X exited, Y lowered his investment by Rs. 500, and Z entered the business with Rs. 3,000. At year-end, Y’s share of the profit is Rs. 1,980. What is the profit share of Z?
    A 360 Correct Answer Incorrect Answer
    B 428 Correct Answer Incorrect Answer
    C 420 Correct Answer Incorrect Answer
    D 456 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Ratio of profit share of X, Y, and Z, respectively:

    = (2,500 × 9) : (4,500 × 9 + 3,000 × 3) : (3,000 × 3)

    = 22.5 : (40.5 + 9) : 9

    = 22.5 : 49.5 : 9

    = 5 : 11 : 2

    Required profit share = (1,980 / 11) × 2 = Rs. 360

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