Problem Analysis:
The task involves solving a problem related to
markdown pricing. Markdown is the reduction in price from the original (or marked) price, often expressed as a percentage. The goal is to calculate the selling price after applying the markdown.
#### Given Information:
1.
Markdown Percentage: 20%
2.
Marked Price: $80.00
3.
Question: What is the selling price?
#### Formula for Markdown:
The formula to calculate the selling price after applying a markdown is:
\[
\text{Selling Price} = \text{Marked Price} - (\text{Markdown Percentage} \times \text{Marked Price})
\]
Alternatively, it can be simplified as:
\[
\text{Selling Price} = \text{Marked Price} \times (1 - \text{Markdown Percentage})
\]
Step-by-Step Solution:
1.
Identify the Marked Price and Markdown Percentage:
- Marked Price = $80.00
- Markdown Percentage = 20% = 0.20 (in decimal form)
2.
Apply the Formula:
Using the formula:
\[
\text{Selling Price} = \text{Marked Price} \times (1 - \text{Markdown Percentage})
\]
Substitute the values:
\[
\text{Selling Price} = 80.00 \times (1 - 0.20)
\]
3.
Calculate the Expression Inside the Parentheses:
\[
1 - 0.20 = 0.80
\]
4.
Multiply to Find the Selling Price:
\[
\text{Selling Price} = 80.00 \times 0.80 = 64.00
\]
Final Answer:
The selling price is:
\[
\boxed{a}
\]
Verification:
- Original Marked Price: $80.00
- Markdown Amount: \( 80.00 \times 0.20 = 16.00 \)
- Selling Price: \( 80.00 - 16.00 = 64.00 \)
This confirms that the calculation is correct.
Conclusion:
The selling price after a 20% markdown on a marked price of $80.00 is
$64.00. The correct option is:
\[
\boxed{a}
\]
Parent Tip: Review the logic above to help your child master the concept of percent discount worksheet.
