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    A number is first decreased by 5% and then increased by 5%. What will be the net increase or decrease?
    Question

    A number is first decreased by 5% and then increased by 5%. What will be the net increase or decrease?

    A.

    0.25% decrease

    B.

    No increase or decrease

    C.

    25% decrease

    D.

    0.25% increase

    Correct option is A

    Given:

    A number is first decreased by 5% and then increased by 5%.
    Formula Used:
    When a value is changed successively by x% and then y%, the net change (%) is:

    Net Change = x+y+xy100x + y + \frac{xy}{100}

    Solution:

    Net Change =5+5+(5)(5)100 -5 + 5 + \frac{(-5)(5)}{100}

    Net Change = 025100=0.25%0 - \frac{25}{100} = -0.25\%

    Net decrease of 0.25%.

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