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

Answer:

28%

Step-by-step 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:

$\bigtriangleup=1-\frac{Final}{Original}\\\\=1-\frac{39.6}{55}\\\\=0.28 \ \ or \ 28\%$

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