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}}*100\text{ \%}`

By substitution, we will have

`\begin{gathered} 28=\frac{x-\text{ \$558}}{x}*100 \\ 28x=100x-55800 \\ 55800=100x-28x \\ 72x=55800 \\ (72x)/(72)=(55800)/(72) \\ x=\text{ \$775} \end{gathered}`

Therefore,

The original price = $775