Question

You expected to get $50$ gifts for your birthday, but you only got $32$. What was the percentage error?

• A. $51.25\%$
• B. $45.25\%$
• C. $46.25\%$
• D. $56.25\%$

Answer 1

The correct option is D $56.25\%$

Given, absolute value $=50$, exact value $=32$

Percentage error $=$ $\left|\frac{Absolutevalue-exactvalue}{exactvalue}\right|\times 100$ $\%$
$=$ $\left|\frac{50-32}{32}\right|\times 100$ $\%$
$=$ $\left|\frac{18}{32}\right|\times 100$ $\%$
$=$ $\left|0.5625\right|\times 100$ $\%$
$=56.25\%$