Q:

A store is having a sale in which all items are reduced by 20% including tax. Jennifer paid $21 for a pair of shorts if the sales tax is 5% what was the original price of shorts?

Accepted Solution

A:
Answer:
original price of pants = $25

Explanation:
First, let's calculate the price of shorts after discount:
Assume that the price of shorts after the discount is x
Total payment = price of shorts + taxes

We know that:
total payment = $21
taxes = 5% = 0.05 of the price

This means that:
21 = x + 0.05x
21 = 1.05x
x = $20

Therefore, the price of the shorts is $20 after the discount

Now, we will get the price of the shorts before the discount:
Assume that the price of shorts before discount is y

We know that:
The discount was 20%
This means that Jennifer paid:
100% - 20% = 80% of the price of the shorts

Therefore:
80% of the price = $20
0.8y = 20
y = $25

This means that price of shorts before discount was $25

Hope this helps :)