Subject

    Quantitative Aptitude

    Topic

    Percentage

    A number is increased by 40% then again by 40%. Then it is decreased by 40%. By what percent the original number has changed?

    ক)
    40%
    খ)
    56%
    গ)
    17.6%
    ঘ)
    16%
    ঙ)
    None of these

    Explanation

    Let original number be 100x. According to question, the number is first increased by 40% ∴ New number = 100x + (40% of 100x) = 100x + 40x = 140x It is again increased by 40%. ∴ New number = 140x + (40% of 140x) = 140x + 56x = 196x Now, this number is decreased by 40%. ∴ New number = 196x – (40% of 196x) = 117.6x ∴ Percentage change in original number =  117.6x  −  100x100x×100  =  17.6= \;\frac{{117.6x\; - \;100x}}{{100x}} \times 100\; = \;17.6

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