A store has a

Question

\[40\%\] off sale on headphones. With this discount, the price of one pair of headphones is
\[\$36\].
What is the original price of the pair of headphones?

Answer 1

Let the original price of the headphones be $x.

Since there is a 40% off sale, the discount is 40% of the original price, which is $\frac{40}{100}\cdot x = \frac{2}{5}x$.

After the discount, the price of the headphones is $x - \frac{2}{5}x = \frac{3}{5}x = \$36$.

Solving for $x$, we have $\frac{3}{5}x = 36$, so $x = \frac{5}{3}\cdot 36 = \boxed{60}$.

The original price of the headphones is $60.