Question

10. RP3-M

Jeanette purchased a concert ticket on a web site. The original price of the ticket was $75.

She used a coupon code to receive a 20% discount. The website applied a 10% service fee

to the discounted price. Jeannette's ticket was less than the original price by what percent?

Answer 1

Jeannette's ticket was less than the original pice by 30%

Explanation:

original price = $75

percentage discount = 20% of original price = 20% of $75

discounted price =
`(20)/(100) *\ 75\ =\ 15`

discounted price = $15

website service fee = 10% of original price

website service fee =
`(10)/(100)* 75 = \$7.5`

New discounted price = discount price + website service fee

= 15 + 7.5 = $22.5

Next, let us calculate what percentage of the original price that will give the new discount price.

Let the percentage of the original price = x%

x% of 75 = $22.5

`(x)/(100) *\ 75\ = 22.5\\\\(75x)/(100) = 22.5\\\\75x = 2250\\\\x = (2250)/(75) \\\\x = 30`

Therefore, Jeannette's ticket was less than the original pice by 30%