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    Question

    P and Q started a business with Rs. 6000 and Rs. 7500

    respectively. Q remained in the business 4 months longer than P. If P received Rs. 1800 from the total profit of Rs. 6300, then for how many months did Q invest his money?
    A 3 Correct Answer Incorrect Answer
    B 8 Correct Answer Incorrect Answer
    C 2 Correct Answer Incorrect Answer
    D 4 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let P invested for ‘x’ months

    According to question;
    Image
    Or, 5×6000x=2×7500(x+4)

    30000x = 15000(x+4)

    30000x = 15000x+60000

    15000x = 60000

    x = 4

    So, Q invested for (4 + 4) = 8 months

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