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    Question

    ‘P’, ‘Q’ and ‘R’ divide a certain amount among

    themselves. The average of their shares is Rs. 4860. Share of ‘P’ is 12(1/2)% more than share of ‘Q’ and 25% less than share of ‘R’. What is the share of ‘Q’ (in Rs.)?
    A Rs.2,000 Correct Answer Incorrect Answer
    B Rs.8,000 Correct Answer Incorrect Answer
    C Rs.4,000 Correct Answer Incorrect Answer
    D Rs.7,502 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,
    Let share of ‘Q’ = Rs. 80x

    Share of ‘P’ = 80x + (12.5% of 80x) = 80x + 10x = Rs. 90x

    Share of ‘R’ = (4/3) × 90x = Rs. 120x

    Total amount = 4860 × 3 = Rs. 14580

    So, 80x + 90x + 120x = 14580

    Or, 290x = 14580

    Or, x = 50

    So, share of ‘Q’ = 80 × 50 = Rs. 4000

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