Question

An appliance store decreases the price of a 19-in. television set 18% to a sale price of $522.75. What was the original price?

Round to the nearest cent

Answer 1

We can start by using the following formula to find the original price:

Original price = Sale price / (1 - (Discount percentage / 100))

To use this formula, we need to convert the discount percentage from 18% to a decimal. We can do that by dividing 18 by 100.

Discount percentage as decimal = 18 / 100 = 0.18

Now we can use this value in the formula:

Original price = $522.75 / (1 - 0.18) = $522.75 / 0.82 = $638.57

So the original price of the television set was $638.57.

Rounding to the nearest cent, the original price of the television set is $638.57