Question

A store is having a 20%-off sale on all pairs of shoes. Kurt wants to buy a pair of shoes that have a regular price of x dollars. The sales tax is 7%. Which expression represents the final price of the shoes?

Answer 1

`\$ \ (428)/(500)x`

Explanation:

Regular price of a pair of shoes = $
`x`

Discount offered = 20%

Amount of discount offered = 20% of $
`x`

Discounted price = Regular price - Amount of discount

Discounted price = $
`x` - 20% of $
`x` = 80% of $
`x` =
`\$ (4)/(5)x`

Now, it is given that there is a sales tax of 7% as well on the price.

Sales tax is applied on the discounted price.

Therefore, sales tax = 7% of
`\$ (4)/(5)x`

Final Price after applying the sales tax =
`\$ (4)/(5)x` + 7% of
`\$ (4)/(5)x`

`\Rightarrow 107\%\ of\ \$\ \ (4)/(5)x`

`\Rightarrow \$ \ (428)/(500)x`

Therefore, the expression to represent the final price of the pair of shoes:

`\$ \ (428)/(500)x`