JC Penny is offering 22 off for any kind of shoes You bough

JC Penny is offering 22 % off for any kind of shoes. You bought a pair of shoes with 106 Dollars after 12 \\ Sales Tax is applied. What was the original or listing price of the shoe you bought Sales Tax is applied on the discounted price.

Solution

Let the original price of the shoes be x. Then after 22 % discount, the price of the shoes is 0.78x.The sales tax on this amount is 12 % of   0.78x = 0.78x * 12/100 = 0.0936x. Since the shoes were purchased for $ 106, we have 0.78x + 0.0936x = 106 or, 0.8736x = 106. Therefore x = 106/( 0.8736) = 121.3369963 or, x = $ 121.34 on rounding off to the nearest cent. Thus, the original price of the shoes was $ 121.34.