The price of a dress is reduced by 55 0%. When the dress still does not sell, it is reduced by 55 0% of the reduced price. If the price of the dress after both reductions is $5050 , what was the original price?

x = $200

The original price is $200

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 $50, what was the original price?

Step-by-step explanation:

Let x represent the original price of the dress.

First reduction

After first reduction the value of the price is given as;

p1 = x - 50% of x = (1-0.50) x = 0.5x

p1 = 0.5x

Second reduction

After the second reduction the value of the price is given as;

p2 = p1 - 50% of p1 = (1-0.50) p1 = (0.50) 0.50x

p2 = 0.25x ... 1

Since, p2 is given

p2 = $50

Substituting into equation 1

$50 = 0.25x

x = $50/0.25 = $200

x = $200

The original price is $200