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    Question

    X and Y opened a joint venture by investing Rs. 1200 and

    Rs. ‘k’ respectively. Y left the business after 6 months. If X got Rs. 5400 from the total profit of Rs. 8100, then what is the value of ‘k’?
    A Rs.2000 Correct Answer Incorrect Answer
    B Rs.1200 Correct Answer Incorrect Answer
    C Rs.1800 Correct Answer Incorrect Answer
    D Rs.1500 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Investment ratio = 1200 : k

    Profit ratio = (1200 × 12) : (k × 6) = 14400 : 6k = 2400 : k

    (2400 / (2400 + k)) × 8100 = 5400

    (2400 / (2400 + k)) = 2 / 3

    2400 × 3 = 2(2400 + k)

    7200 = 4800 + 2k

    2k = 2400

    k = 1200

    So, the value of ‘k’ is Rs. 1200

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