Question

The price of a dress is reduced by 50​%.when the dress still does not​ sell, it is reduced by 50​% of the reduced price. if the price of the dress after both reductions is ​$36​, what was the original​ price?

Answer 1

36 × 4
= $144
................

Answer 2

$144

Explanation:

If the price of an item whose original cost is F dollars is reduced by 50%, the new price of the item must be equivalent to the difference between the original and the amount by which it was reduced. This new price must be equal to

= F - (50% *F)

= 0.5F (measured in $)

If the new price is further reduced by 50%, the new price will be

= 0.5F - (50% * 0.5F)

= 0.5F - 0.25F

= 0.25F

if the price of the dress after both reductions is ​$36​, then it means that

0.25F = $36

F = $36/0.25

= $144

The original price was $144