A sweater that normally sells for $78 is marked 15% off. Which of the following estimates the sale price of the sweater?
A.
$12
B.
$66
C.
$22
D.
$69
The correct answer and Explanation is :
The sweater, which originally costs $78, is marked down by 15%. To estimate the sale price, let’s break down the calculation.
Step 1: Calculate the Discount
A 15% discount on $78 means you take 15% of $78 and subtract it from the original price.
To find the discount amount:
[
15\% \text{ of } 78 = \frac{15}{100} \times 78 = 0.15 \times 78 = 11.70
]
So, the discount is $11.70.
Step 2: Subtract the Discount from the Original Price
Now subtract the discount from the original price to find the sale price:
[
78 – 11.70 = 66.30
]
So, the sale price is approximately $66.
Answer: B. $66
Explanation:
This problem involves calculating a percentage discount, which is common in shopping scenarios. When a product is marked down by a certain percentage, that percentage is taken off the original price. The steps include first finding the percentage of the original price (in this case, 15% of $78) and then subtracting that amount from the original price.
Here, the 15% discount on a $78 sweater results in a savings of $11.70, which brings the sale price down to approximately $66. The other options (A: $12, C: $22, and D: $69) are either too low or too high based on this calculation.
- $12 and $22 are much too low to be reasonable estimates for the sale price.
- $69 is close, but $66 is the more accurate result. Thus, $66 is the correct answer.