Question

The price of a dress is reduced by 25​%. When the dress still does not​ sell, it is reduced by 25​% of the reduced price. If the price of the dress after both reductions is ​$18​, what was the original​ price?The price of a dress is reduced by 25​%. When the dress still does not​ sell, it is reduced by 25​% of the reduced price. If the price of the dress after both reductions is ​$18​, what was the original​ price?

Answer 1

to sum it up the answer is $32

Answer 2

Explanation:

Let's assume that the original price of the dress is "x" dollars.

The price of the dress is first reduced by 25%, which means the new price is:

x - 0.25x = 0.75x

When the dress still does not sell, it is further reduced by 25% of the reduced price, which means the final price is:

0.75x - 0.25(0.75x) = 0.5625x

We know that the final price is $18, so we can set up an equation:

0.5625x = 18

Solving for x, we get:

x = 32

Therefore, the original price of the dress was $32.