Subject

    Quantitative Aptitude

    Topic

    Percentage

    A student multiplied a number by 3/5 instead of 5/3, What is the percentage error in the calculation ?

    ক)
    54 %
    খ)
    64 %
    গ)
    84 %
    ঘ)
    74 %

    Explanation

    Let the number be x. Then, ideally he should have multiplied by  x by 5 ÷\div 3. Hence Correct result was x ×\times (5 ÷\div 3)= 5x ÷\div 3. By mistake he multiplied x by 3/5 . Hence the result with error  = 3x ÷\div 5 Then, error = (5x ÷\div 3 - 3x ÷\div 5) = 16x ÷\div 15 Error %  = (error ÷\div True vaue) ×\times 100 = [(16 ÷\div 15) ×\times x ÷\div (5 ÷\div 3) ×\times x] ×\times 100 = 64 %

    Find Tutors

    View all Tutors