Subject

    Quantitative Aptitude

    Topic

    Areas & Volumes

    The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

    ক)
    20%
    খ)
    30%
    গ)
    40%
    ঘ)
    50%

    Explanation

    Let original length = x and original breadth = y. Original area = xy. New length = x/2 and New breadth=3y New area = 32xy\frac32xy Therefore,  Increase in area = New area-original area =  32xy−xy=12xy\frac32xy-xy=\frac12xy Therefore,  Increase % =  increase  in  area  original  area∗100=(12xyxy)∗100=50\frac{increase\;in\;area\;}{original\;area}\ast100=\left(\frac{\displaystyle\frac12xy}{xy}\right)\ast100=50%

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