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