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    If a number is increased by 20% and then it is decreased by 10%. Its net increase or decrease is:
    Question

    If a number is increased by 20% and then it is decreased by 10%. Its net increase or decrease is:

    A.

    8% increase

    B.

    10% increase

    C.

    10% decrease

    D.

    8% decrease

    Correct option is A

    Given:
    A number is increased by 20% and then decreased by 10%.
    Formula Used:
    Net effect = (a + b + (a * b) / 100), where 'a' is the percentage increase and 'b' is the percentage decrease.
    Solution:
    Here, a = 20 and b = -10.
    So, Net effect = 20 + (-10) + (20 * (-10)) / 100.
    Net effect = 20 - 10 - 2 = 8.
    Thus, the net increase is 8%.
    Alternate Method

    Let the original number be 100.
    New value after a 20% increase = 100 + 20% of 100= 120
    Value after a 10% decrease on 120 = 120 – 10% of 120 = 108
    Net change = Final value - Initial value
    Net change = 108 - 100 = 8
    Percentage Increase = 8100×100\frac{8}{100} \times 100​ = 8%
    - Therefore, the net increase in the value is 8%.

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