Question

One fourth of the total number of items in a shop was on a discount sale. What percentage of items were on sale on the original price?

Answer 1

Let Total Number of Items=x

In which $\frac{1}{4}$ is on Discount.

Discount Items= $\frac{1x}{4}$

Remain Item Without Discount.

$x - \frac{1x}{4} \\ \\ \frac{4x - x}{4} \\ \\ = \frac{3x}{4}$

Item Without Discount=$\frac{3x}{4}$

Question Saying What percent of Total(x) is 3x/4

Equation Can be set

3x/4/x×100

=3x/4×1/x×100

Then,

$\frac{3\cancel x}{\cancel4 } \times \frac{1}{\cancel x} \times \cancel{100}$

=3×25

=75

$\boxed{\mathtt{\huge{Original\:Price=75\%}}}$