Subject

    Quantitative Aptitude

    Topic

    Percentage

    A student multiplied a number by 2/3 instead of 3/2 what is the percentage error in the calculation?

    ক)
    45%
    খ)
    55.5%
    গ)
    62 %
    ঘ)
    63%
    ঙ)
    none of these

    Explanation

    Let the number to be multiplied = x Then, the result after multiplying it by 2/3 = 2/3 x But, actual number should be (3/2) x Therefore error in the calculation =32x−23x=56x= {3 \over 2}x - {2 \over 3}x = {5 \over 6}x Then required percentage error =56x32x×100=55.5%= {{{5 \over 6}x} \over {{3 \over 2}x}} \times 100 = 55.5\%

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