Question

A store has a 40\%40%40, percent off sale on headphones. With this discount, the price of one pair of headphones is \$36$36dollar sign, 36. What is the original price of the pair of headphones?

Answer 1

Let x be the original price of headphones.

Since there is 40% off, the price after discount will be 60% of x. So we can set this information as:

`60 \text { percent of x} =36`

`(60)/(100) \cdot x=36`

`x=36\cdot(100)/(60)`

`x=36\cdot(10)/(6)`

`x=6\cdot10=60`

Therefore, original price of headphones is $60.

Answer 2

Let
X=the original price of the pair of headphones
then
if the % off sale is 40--------------- > (1-0.40)*X=$36
x=36/0.60=60

the answer is
the original price of the pair of headphones was $60