https://file.aiquickdraw.com/mathbot/file/17290729027316xekps2i.jpg

Let's break down the problem:

We are given:
- % Markdown = 43%
- $ Markdown = $2.46
- We need to find the Original Price and Reduced Price.

### Step 1: Understanding the relationship
The markdown amount ($2.46) represents 43% of the original price.

This means:
\[
\text{Markdown amount} = \text{Original price} \times \frac{\text{Markdown percentage}}{100}
\]
\[
2.46 = \text{Original price} \times \frac{43}{100}
\]
Solving for the Original price:

\[
\text{Original price} = \frac{2.46}{0.43} \approx 5.72
\]

### Step 2: Finding the reduced price
The reduced price is the original price minus the markdown amount:

\[
\text{Reduced price} = 5.72 - 2.46 = 3.26
\]

### Conclusion:
- Original price ≈ $5.72
- Reduced price ≈ $3.26

Therefore, the correct answer is **Option D**: Original price = $5.72, Reduced price = $3.26.

Would you like more details or have any questions? 

Here are some related questions for further practice:
1. How would you calculate the markdown percentage if you were given the original price and reduced price?
2. If the markdown was 50%, what would the reduced price be for an item that costs $10 originally?
3. How can you determine the original price if you're given only the reduced price and the markdown percentage?
4. If the markdown is $5 and the percentage is 20%, what is the original price?
5. Can the markdown percentage ever be more than 100%?

**Tip:** Always check that the markdown amount aligns with the percentage reduction before finalizing your answer.

Find the missing quantities. Round rates to the nearest whole percent and money to the nearest cent.

Learn how to calculate the original price and reduced price using markdown percentages. This step-by-step solution covers markdown calculations involving 43% and $2.46 markdown values, helping students understand how to apply percentages and basic algebra. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation