Answer:
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
Using decimal multipliers, it is found that the value of x is of 16.67.
<h3>What is a decimal multiplier?</h3>
Increases of a% or decreases of a% re represented by decimal values, as follows:
- The equivalent multiplier for an increase of a% is given by:

- The equivalent multiplier for an decrease of a% is given by:

In this problem:
- The price at the beginning of January was of a.
- Increase of 20% in January, hence
.
- Decrease of 20% in February, hence
.
- Increase of 25% in March, hence
.
- Decrease of x% in April, hence

The price of gasoline at the end of April was the same as it had been at the beginning of January, hence:






The value of x is of 16.67.
To learn more about decimal multipliers, you can take a look at brainly.com/question/24952336
Answer:
I believe the answer is B
Discount = 35%
Percentage after discount = 100% - 35% = 65%
65% = $56.80
1% = $0.8738
100% = $87.38
Answer: The original price is $87.38