A student multiplied a number by 3/5 instead of 5/3, What is the percentage error in the calculation ? A. 54 % B. 64 % C. 74 % D. 84 % Answer Workspace Report Discuss Answer with explanation Answer: Option B Explanation Let the number be x. Then, ideally he should have multiplied by x by 5/3. Hence Correct result was x * (5/3)= 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 vaue) * 100 = [(16/15) * x/(5/3) * x] * 100 = 64 % Workspace
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