Question

Breyana is buying a new dress. The dress is on sale for 20% off. Breyana will also have to pay 10% sales tax on the discounted pric of the dress. The expression below represents the total amount, including the tax, that Bianca will pay for a dress which originally costs x dollars. (x-0.20x) + 0.10(x-0.20x) What percent of the dress's original price will Breyana pay?

Answer 1

Answer:

Breyana paid 88% of the dress's original price.

Step-by-step explanation:

We are given the following in the question:

Let x be the original price of dress.

The dress is on sale for 20%.

Price of dress after discount =

$(x-0.20x)$

Breyana will also have to pay 10% sales tax on the discounted price of the dress.

Price of dress after discount =

$0.10(x-0.20x)$

Total cost of dress =

$(x-0.20x) + 0.10(x-0.20x)$

We have to calculate percentage of original price paid by Breyana

$\dfrac{(x-0.20x) + 0.10(x-0.20x)}{x}\times 100\%\\\\=\dfrac{0.80x+0.08x}{x}\times 100\%\\\\=\dfrac{0.88x}{x}\times 100\%\\\\=88\%$

Thus, Breyana paid 88% of the dress's original price.