Question

Elisa purchased a concert ticket on a website. The original price of the ticket was $95. She used a coupon code to receive a 10% discount. The website applied a 10% service fee to the discounted price. Elisa's ticket was less than the original by what percent?

Answer 1

The price of the ticket after the cupon is:

`95\cdot0.9=85.5`

To this price we have to add 10%, then:

`85.5\cdot1.1=94.05`

Hence the final cost of the ticket is $94.05.

To find out how less is this from the orginal price we use the rule of three:

`\begin{gathered} 95\rightarrow100 \\ 94.05\rightarrow x \end{gathered}`

then this represents:

`x=(94.05\cdot100)/(95)=99`

Therefore, Elisas's ticket was 1% less than the orginal price.