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.