Question

One-fourth of the shoes in a shop were on discount sale. What percentage of the shoes were not discounted?

Answer 1

Step 1: Finding the fraction of the shoes that were not discounted.

Given that ${\left(\frac{1}{4}\right)}^{th}$of the shoes were on discount.

So, the fraction of shoes that were not on discount

$$\begin{gathered} =1-\left(\frac{1}{4}\right) \\ =\frac{3}{4} \end{gathered}$$

Step 2: Finding the percentage of the shoes that were not discounted.

$\begin{array}{rcl}\frac{3}{4}& =& \frac{3}{4}\times 100\\ & =& 3\times 25\\ & =& 75\%\end{array}$

Hence, the percentage of the shoes that were not discounted is $75\%$