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    Question

    Two numbers ‘p’ and ‘q’ add up to 840. If ‘p’

    is decreased by 5% and ‘q’ is increased by 10%, the values become equal. What is the value of ‘q’?
    A 389.27 Correct Answer Incorrect Answer
    B 286.25 Correct Answer Incorrect Answer
    C 167.44 Correct Answer Incorrect Answer
    D 256.70 Correct Answer Incorrect Answer

    Solution

    ATQ,

    p + q = 840 ……(i)

    ATQ,

    0.95 × p = 1.10 × q

    Or, p = (1.10 / 0.95) × q

    So, p = (22q / 19)

    Put the value of ‘p’ in equation (i), we get,

    (22q/19) + q = 840

    Or, (41q/19) = 840

    Or, q = 840 × (19/41)

    So, q = 389.27

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