Question

a store is having a sale in which all items are reduced 20%. Including tax, Jennifer pail $21 for a pair of shorts. If the sales tax is 5%, what was the original price of the shorts

Answer 1

$25.

Explanation:

Let x be the original price of shorts.

We have been given that a store is having a sale in which all items are reduced 20%. The sales tax is 5%.

The price of shorts after 20% off will be:

`\text{ Price of shorts after discount}=x-(20)/(100)x`

`\text{ Price of shorts after discount}=x-0.2x`

`\text{ Price of shorts after discount}=0.8x`

Since tax is added after the discount, so the price of shorts after including the tax will be:

`0.8x+((5)/(100)* 0.8x)`

We are told that including tax, Jennifer paid $21 for a pair of shorts. So we can set an equation as:

`0.8x+((5)/(100)* 0.8x)=21`

Now let us solve for x.

`0.8x+(0.05* 0.8x)=21`

`0.8x+0.04x=21`

`0.84x=21`

`(0.84x)/(0.84)=(21)/(0.84)`

`x=(21)/(0.84)`

`x=25`

Therefore, the original price of shorts was $25.