Question

Bill bought a table on sale for $558. This price was 28% less than the original price,What was the original price?

Answer 1

For the new price to be 28% less than the original price then, therefore, the original price is definitely more than the new price

Let the original price be

$x$

the new price given is

$\text{ \ 558}$

It means that the percentage decrease is

$28\text{ \%}$

The formula for percentage decrease is

$\text{percentage decrease=}\frac{\text{original price-new price}}{\text{original price}}\times100\text{ \%}$

By substitution, we will have

$\begin{gathered} 28=\frac{x-\text{ \ 558}}{x}\times100 \\ 28x=100x-55800 \\ 55800=100x-28x \\ 72x=55800 \\ \frac{72x}{72}=\frac{55800}{72} \\ x=\text{ \ 775} \end{gathered}$

Therefore,

The original price = $775