A

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Q. 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 %
  • Correct Answer - Option(B)
  • Views: 18
  • Filed under category Math
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Explanation by: Admin

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 %

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