Question

Jeanette purchased a concert ticket on a website. 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. Jeanette’s ticket was less than the original price by what percent?

Answer 1

Step-1: Solve for the discounted price of the ticket:

Given that the original price of the ticket that Jeanette purchased was $\$75$ and a coupon code receives a $20\%$ discount.

So, the discounted price $=$Original price $-20\%$ of (Original Price)

$$\begin{gathered} =75-\left(\frac{20}{100}\times 75\right) \\ =75-15 \\ =\$60 \end{gathered}$$

Therefore, the discounted price of the ticket was $\$60$.

Step-2: Solve for the final price of the ticket:

We have given that the website applied a $10\%$ service fee to the discounted price.

So, the service fee $=$ $10\%$ of $\$60$

$$\begin{gathered} =\frac{10}{100}\times 60 \\ =\$6 \end{gathered}$$

Therefore, the final price of the ticket after applying a coupon code and service fee$=\$\left(60+6\right)=\$66$

Step-3: Solve for the required percentage change:

The original price of the ticket was $\$75$ and the final price of the ticket after applying a coupon code was $\$66$.

So, percentage change $=\frac{75-66}{75}\times 100$

$$\begin{gathered} =\frac{9}{75}\times 100 \\ =12\% \end{gathered}$$

Hence, Jeanette’s ticket was less than the original price by $12\%$.