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

Answer:

$\ \ \dfrac{428}{500}x$

Step-by-step 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$ = $\ \frac{4}{5}x$

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 $\ \frac{4}{5}x$

Final Price after applying the sales tax = $\ \frac{4}{5}x$ + 7% of $\ \frac{4}{5}x$  

$\Rightarrow 107\%\ of\ \ \ \ \dfrac{4}{5}x$

$\Rightarrow \ \ \dfrac{428}{500}x$

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

$\ \ \dfrac{428}{500}x$