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    Question

    The sum of two numbers, x and y, is 640. If x is reduced by

    8% and y is raised by 12%, the two values become equal. Determine the value of y.
    A 232 Correct Answer Incorrect Answer
    B 209 Correct Answer Incorrect Answer
    C 3501 Correct Answer Incorrect Answer
    D 288 Correct Answer Incorrect Answer

    Solution

    ATQ,

    x + y = 640 ……(i)

    ATQ,

    0.92 × x = 1.12 × y

    Or, x = (1.12/0.92) × y

    So, x = (28y/23)

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

    (28y/23) + y = 640

    Or, (51y/23) = 640

    Or, y = 640 × (23/51)

    So, y = 288

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