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    Question

    M and N started a business. M invested Rs. 1600 and N

    invested Rs. ‘t’. N withdrew after 6 months. If M received Rs. 5000 out of the total annual profit of Rs. 7500, find the amount invested by N.
    A Rs.2000 Correct Answer Incorrect Answer
    B Rs.1600 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 = 1600 : t

    Profit ratio = (1600 × 12) : (t × 6) = 19200 : 6t = 3200 : t

    (3200 / (3200 + t)) × 7500 = 5000

    (3200 / (3200 + t)) = 2 / 3

    3200 × 3 = 2(3200 + t)

    9600 = 6400 + 2t

    2t = 3200

    t = 1600

    So, the value of ‘t’ is Rs. 1600

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