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

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Q:

A) 54 % B) 64 %
C) 74 % D) 84 %

Answer:   B) 64 %

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 %

Subject: Percentage - Quantitative Aptitude - Arithmetic Ability

A student multiplied a number by 315 instead of 5 / 3 . what is the percentage error in the question.

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