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    Subject

    Quantitative Aptitude

    Topic

    Areas & Volumes

    If each side of a square is increased by 25%, find the percentage change in its area.

    ক)
    56.25%
    খ)
    36.25%
    গ)
    16.25%
    ঘ)
    12.25%

    Explanation

    Let each side of the square be a. Then, area = a2a^2 New side = 125a100=5a4\frac{125a}{100}=\frac{5a}4 New area = (5a4)2\left(\frac{5a}4\right)^2 = (25a216)\left(\frac{25a^2}{16}\right) Increase in area = 25a216−a2=9a216\frac{25a^2}{16}-a^2=\frac{9a^2}{16} Increase% = [9a216∗1a2∗100]\left[\frac{9a^2}{16}\ast\frac1{a^2}\ast100\right]% = 56.25%.

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