smc

Question

Carlos went to a sports store to buy running shoes. Running shoes were on sale, with prices reduced by 20% on every pair of shoes. Carlos also knew that he had to pay a 7.5% sales tax on the discounted price. He had 43 dollars. What is the original (before discount) price of the most expensive shoes he could afford to buy?

Accepted Answer

The discounted shoe is 20% off the original price. So that means 1 - 0.2 = 0.8. There is also a 7.5% sales tax charge, so 0.8 * 1.075 = 0.86. Now we can set up the equation 0.86x = 43, and solving that we get x=50 ~ kabbybear