A student multiplied a number by \(\frac{3}{5}\) instead of \(\frac{

Question

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

Options:

A . 34%

B . 44%

C . 54%

D . 64%

Answer: Option D

Let the number be x.

Then, error = \(\frac{3}{5}x-\frac{5}{3}x=\frac{16}{15}x.\)

Error% = \(\left(\frac{16x}{15}\times\frac{3}{5}x\times100\right)\) % = 64%

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