Question

At a sale, a table is being sold for 24% of the regular price. The sale price is $110.40.What is the regular price?

Answer 1

Let x be the regular price. We are told that the sale price corresponds to the 24% of the regular price. That is, if we calculate the 24% of x, we would get the sale price, which is 110.40. Recall that to calculate the 24% of x, we simply multiply x by 24 and divide it by 100. So this expression would be

`x\cdot(24)/(100)`

We know that this quantity should be 110.40 so we have the following equation

`x\cdot(24)/(100)=110.40`

So, if we multiply both sides by 100, we get

`24\cdot x\text{ =11040}`

Now, we divide both sides by 24, so we get

`x=(11040)/(24)=460`

So the original price of the table was 460.