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    Question

    'X' began a venture by investing an unknown amount. 4

    months later, 'Y' came in with Rs. 1300 more than 'X'. At the end of 1 year, the profit was divided in the ratio 7:9. What was 'X's investment?
    A Rs.1400 Correct Answer Incorrect Answer
    B Rs.1320 Correct Answer Incorrect Answer
    C Rs.2110 Correct Answer Incorrect Answer
    D Rs.3150 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let 'X's investment = Rs. 'Y'

    Then 'Y's investment = Rs. (Y + 1300)

    Profit ratio = (Y × 12) : {(Y + 1300) × 8}

    ATQ,

    (Y × 12) ÷ {(Y + 1300) × 8} = 7/9

    Or, 12Y × 9 = 7 × (8Y + 10400)

    Or, 108Y = 56Y + 72800

    So, Y = (72800 ÷ 52) = 1400

    Therefore, initial investment of 'X' = Rs. 1400

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