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    Question

    'X' and 'Y' started a partnership business. 'X' invested

    Rs. 1,800 more than 'Y'. 'X' withdrew after 6 months. If the final profit sharing ratio between X and Y was 3:4, calculate the amount invested by X.
    A Rs.3200 Correct Answer Incorrect Answer
    B Rs.5000 Correct Answer Incorrect Answer
    C Rs.5400 Correct Answer Incorrect Answer
    D Rs.2500 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let Y’s investment be Rs. a.

    Then, X’s investment = a + 1800

    Profit ratio = [(a + 1800) Ă— 6] : [a Ă— 12] = (3a + 5400) : 6a

    ATQ,

    (3a + 5400) : 6a = 3 : 4

    ⇒ 4 × (3a + 5400) = 3 × 6a

    ⇒ 12a + 21600 = 18a

    ⇒ 6a = 21600

    ⇒ a = 3600

    Investment of X = 3600 + 1800 = Rs. 5,400

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