JC Penny is offering 28 off for any kind of shoes You bough

JC Penny is offering 28 % off for any kind of shoes. You bought a pair of shoes with 168 Dollars after 5 % Sales Tax is applied. What was the original or listing price of the shoe you bought. Hint: Sales Tax is applied on the discounted price.

Solution

Let $x be the original price

Discount = (28/100)x = 0.28x

Price aftre discount = x-0.28x = 0.72x

Price after sales tax = 0.72x - 0.72x(5/100)

= 0.72x - 0.036x =0.684x

0.684x = $ 168

x = 168/0.684 = $ 245.60 ( original or listing price of the shoe)