To solve this, we'll break it down step by step.

Given Information:

• Purchase price per shirt = $13.50
• Markup = $19.75
• Discount (markdown) during Christmas = $7.85

Step 1: Selling price before markdown

First, we calculate the original selling price before the discount (markdown): $\text{Selling Price} = \text{Purchase Price} + \text{Markup} = 13.50 + 19.75 = 33.25$

Step 2: Reduced Selling Price

Now, we calculate the reduced selling price after the markdown of $7.85: $\text{Reduced Selling Price} = \text{Selling Price} - \text{Markdown} = 33.25 - 7.85 = 25.40$

Step 3: Rate of Markdown

The rate of markdown is the percentage reduction based on the original selling price: $\text{Rate of Markdown} = \left(\frac{\text{Markdown}}{\text{Selling Price}}\right) \times 100$ Substituting the values: $\text{Rate of Markdown} = \left(\frac{7.85}{33.25}\right) \times 100 \approx 23.61\%$

Answers:

a. The rate of markdown is approximately 23.61%.
b. The reduced selling price per shirt is $25.40.

Would you like more details on any step, or have any questions?

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Here are some related questions:

1. How would you calculate profit per shirt after markdown?
2. What would the markup percentage be based on the purchase price?
3. How would the selling price change if the markup increased by 10%?
4. What is the total markdown value for 100 shirts sold?
5. How does the rate of markdown affect overall sales during Christmas?

Tip: To quickly find the markdown percentage, always divide the markdown amount by the original price and multiply by 100.