Question

Peyton bought a pair of shoes online for $46. She used a coupon code to get a 40% discount. The website also applied a 20% processing fee to the price after the discount. Peyton's shoes were less than the original price by what percent? Round to the nearest whole number.

Answer 1

28%

Explanation:

start with $46 = 100% of starting price

coupon = 40% off starting price

40% off of 100% = 100% - 40% = 60% of starting price = price after coupon

60% = 0.6

60% of starting price = price after coupon = 0.6 * $46 = $27.6

then, a 20% processing fee is applied to the price after the discount

new price = $27.6 = 100% of new price

fee = 20% added to new price

20% added to new price = 100% + 20% = 120% of new price

120% = 1.2

final price = price after fee = 120% of new price = 1.2 * $27.6 = $33.12

change in percentange = (original price - new price) / original price * 100

= ($46 - $33.12) / $46 * 100 = 28%