Question

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

• A. 34%
• B. 44%
• C. 54$
• D. 64%

Answer 1

The correct option is D 64%

Let number is $100$.

Actual Multiplication $=\frac{100\times 5}{3}=\frac{500}{3}$.

Student multiplied$=\frac{100\times 3}{5}=\frac{300}{5}$.

Error$=\frac{500}{3}-\frac{300}{5}$

$=\frac{2500-900}{15}=\frac{1600}{15}$

$\%$Error $=\frac{1600\times 100\times 3}{15\times 500}=64\%.$