Question

During a sale, a store advertised that every item in the store was 35 percent off the marked price. During this sale, what was the cost, in dollars, of an item that was marked x dollars?

Options:
A. 0.35x
B. 1 - 0.35x
C. x - 0.35
D. x - 0.35x

Answer 1

The cost of an item with a marked price of x dollars during a 35 percent off sale is x - 0.35x dollars.

Step-by-step explanation:

During a sale with a 35 percent discount, the cost of an item marked x dollars would be reduced by 35% of its original price. To find the discounted price, you convert the percentage to a decimal and then multiply it by the marked price. So, 35% as a decimal is 0.35, and when you multiply it by the marked price x, you get 0.35x, which is the amount being discounted. Subtracting this discount from the original price gives you the sale price, which is x - 0.35x. Therefore, the cost of an item during the sale is x - 0.35x dollars.

Following the same logic as in the examples given:

• For an item worth $65 with 5% sales tax, it's $65.00 × 0.05 = $3.25 sales tax added.
• For a $150 item with a 10% sales tax, $150.00 x 0.10 = $15.00 sales tax added.