Question

A store is having a sale where everything is 25% off. A shirt has an original price of $25. When paying for the shirt you are offered an additional discount of 10% after the first discount is taken. What is the final sale price of the shirt?

Answer 1

$16.88

1) Gathering the data we have:

All 25% off

Original Price $25

Additional discount 10%

2) So we can write it out an equation where x is the final price:

`\begin{gathered} 25\cdot(1-0.25)\cdot(1-0.1)=x \\ 25\cdot(0.75)\cdot(0.9)=x \\ 18.75\cdot(0.9)=x \\ x=16.875\approx16.88 \end{gathered}`

Note that on the first parentheses, we have the first discount. The additional discount on the second parentheses and the original price $25.

3) Thus the answer is $16.88