Question

A sofa is on sale for $363 which is 34% less than a regular price what is the regular price

Answer 1

Given that a sofa is on sale for $363, which is 34% less than the regular price.

To determine: The regular price.

Let the regular price be Y. If the regular price is Y, then the 34%regular price would be

`\begin{gathered} P_{\text{less}}=(100-34)\text{ \% of \$Y} \\ P_{\text{less}}=66\text{ \% of Y} \end{gathered}`

It should be noted that the 34 % less the regular price is the price on sale. Then,

`\begin{gathered} P_{\text{less}}=\text{ \$363} \\ \text{Therefore,} \\ 66\text{ \% of Y = \$363} \\ (66)/(100)* Y=363 \\ (66Y)/(100)=363 \\ 66Y=363*100 \\ 66Y=36300 \\ Y=(36300)/(66) \\ Y=550 \end{gathered}`

Hence, the regular price of the sofa is $550