Percentage - Arithmetic Aptitude Questions and Answers

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A student multiplied a number by $\frac { 3} { 5 }$ instead of $\frac { 5} { 3 }$ What is the percentage error in the calculation ?

34%

44%

54%

64%

Answer : Option D

Explanation :

Let the number be x.

Then , error = $\frac { 5} { 3 }$ x $\frac { 3} { 5 }$ x = $\frac { 16 } { 15 }$ x

Error % = [ $\frac { 16 } { 15 }$ x $\frac { 3} { 5 }$ x 100 ] % =64%

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