At Store X, the list price of a new laptop is $1,500. For the holidays, Store X initially offered a 10% discount on the laptop. Later in the season, the store offered an additional $75 discount on the already discounted price. Sarah bought a new laptop at Store X after the multiple discounts were offered. What total percentage discount did Sarah get on the list price?

Respuesta :

Answer:

77.5%

Step-by-step explanation:

The question gives the first laptop price, the first discount and the subsequent discount. This is therefore how we will go about obtaining the total percentage discount;

Price of New Laptop = $1500

New Price after first discount = $1500 - (10% of $1500) = $1500 - $150 = $1350

Then an additional 75% discount gives: $1350 - (75% of $1350) = $1350 - $1012.50 = $337.50

Now, the total discount is the difference in the first laptop price ($1500) and this current price: $1500 - $337.50 = $1162.50

The total percentage discount = [tex]\frac{Total Discount}{First Price}[/tex] × 100% = [tex]\frac{1162.50}{1500}[/tex] × 100% = 77.5%