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olga2289 [7]
3 years ago
12

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 p

ric 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?
Mathematics
1 answer:
Vinvika [58]3 years ago
7 0

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.

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