Question

Jane purchased a concert ticket on a web site. The original price of the ticket was $55. She used a coupon code to receive a 20% discount. The web site applied a 10% service fee to the discounted price. Jeannette’s ticket was less than the original price by what percent? *

Answer 1

28%

Explanation:

-The price after the coupon discount is calculated as;

`P_(ad)=P_r(1-d)\\\\=55(1-0.2)\\\\=\$44`

We reduce the discounted price by the service fee to determine the effective purchase price:

`P_f=P_(ad)(1-f)\\\\=44(1-0.1)\\\\=\$\ 39.6`

#Compare this final price to the original price:

`\bigtriangleup=1-(Final)/(Original)\\\\=1-(39.6)/(55)\\\\=0.28 \ \ or \ 28\%`

Hence, the final price was 28% less than the original price.