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    Question

    A student multiplied a number by 3/5 instead of

    5/3, What is the percentage error in the calculation ?
    A 54 % Correct Answer Incorrect Answer
    B 64 % Correct Answer Incorrect Answer
    C 74 % Correct Answer Incorrect Answer
    D 84 % Correct Answer Incorrect Answer

    Solution

    Let the number be x. Then, ideally he should have multiplied by x by 5/3. Hence Correct result was`x xx5/3=(5x)/3` By mistake he multiplied x by 3/5 . Hence the result with error =`(3x)/5` Then, error =`(5x)/3-(3x)/5=(16x)/15` Error % =`(Error)/(True Value)xx100=(16/15x)/(5/3x)xx100=64%`

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