Question

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?

Answer 1

The original price is $25.

Step-by-step explanation:

Let x be the original price of a pair of shorts,

Given,

Sales tax = 5%,

Thus, the price of shorts after imposing sales tax = Original price + 5 % of the original price

= x + 5 % of x

`=x+(5x)/(100)`

`=x+0.05x`

`=1.05x`

Now, the discount percentage = 20 %,

The final price of shorts after discount = The price of shorts after imposing tax - 20 % of the price of shorts after imposing tax

= 1.05x - 20 % of 1.05x

`=1.05x-(20* 1.05x)/(100)`

`=1.05x-(21x)/(100)`

`=1.05x-0.21x`

`=0.84x`

According to the question,

The final price of shorts = $ 21

`\implies 0.84 x=21\implies x = (21)/(0.84)=25`

Hence, the original cost of the pair of shorts is $ 25.

Answer 2

Answer:
original price of pants = $25

Step-by-step 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 :)