A student multiplied a number by 2/5 instead of 5/2. What is the percentage error in evaluation ?

A 52%

B 64%

C 84%

D 77%

Solution

Correct Answer: Option C

Let the number be 'x'

 

Then, according to the given data,

\(\frac{\displaystyle\frac{\mathbf5}{\mathbf2}\mathbf x\boldsymbol-\frac{\mathbf2}{\mathbf5}\mathbf x}{\displaystyle\frac{\mathbf5}{\mathbf2}\mathbf x}\times\mathbf{100}\)

= \(\frac{21}{25}\times100\)

= 84%

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