Question

A store sells a hat for \$20 and a scarf for \$15. A customer buys both. What is the total cost after a 10% discount on the hat?

• A. \$30
• B. \$31
• C. \$32
• D. \$33

Hint:

Read the question carefully to see what the discount applies to. Here, the 10% discount is *only* on the hat, not the total purchase. A common mistake is to calculate the discount on the total amount.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
This problem involves calculating a percentage discount and then finding the sum of the prices of two items.
Step 2: Detailed Explanation:
1. Calculate the discount on the hat.
The discount is 10% of the hat's price, which is \$20.
\[ \text{Discount} = 10% \times \$20 = 0.10 \times 20 = \$2 \] 2. Calculate the new price of the hat.
The new price is the original price minus the discount.
\[ \text{Hat Price} = \$20 - \$2 = \$18 \] 3. Calculate the total cost.
The total cost is the sum of the discounted hat price and the scarf price.
\[ \text{Total Cost} = (\text{New Hat Price}) + (\text{Scarf Price}) \] \[ \text{Total Cost} = \$18 + \$15 = \$33 \] Step 3: Final Answer:
The total cost for the customer is \$33. This corresponds to option (D).