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Part 1
Julia purchased a sweatshirt that was reduced from ​$3838 to sell for ​$2727. What was the markdown and the rate of​ markdown?


To solve this problem, we need to find two things:

1. **Markdown**: The difference between the original price and the reduced price.
2. **Rate of Markdown**: The markdown expressed as a percentage of the original price.

### Step-by-Step Solution

1. **Calculate the Markdown:**

   The markdown is the difference between the original price and the reduced price.

   \[
   \text{Markdown} = \text{Original Price} - \text{Reduced Price}
   \]

   Given:
   - Original Price = $38
   - Reduced Price = $27

   Substituting these values:

   \[
   \text{Markdown} = 38 - 27 = 11
   \]

   So, the markdown amount is **$11**.

2. **Calculate the Rate of Markdown:**

   The rate of markdown is calculated by dividing the markdown by the original price and then multiplying by 100 to get a percentage.

   \[
   \text{Rate of Markdown} = \left( \frac{\text{Markdown}}{\text{Original Price}} \right) \times 100
   \]

   Substituting the values:

   \[
   \text{Rate of Markdown} = \left( \frac{11}{38} \right) \times 100 \approx 28.95\%
   \]

### Final Answers

- **Markdown:** $11  
- **Rate of Markdown:** 28.95%

Would you like more details on any part of the solution? 

Here are some related questions to consider:

1. How to calculate markup instead of markdown?
2. What is the importance of knowing the rate of markdown in retail?
3. How to calculate the new selling price given a different rate of markdown?
4. Can the rate of markdown ever exceed 100%?
5. How to calculate the rate of markdown if only given the original price and markdown amount?

**Tip:** Remember to always express the markdown rate as a percentage to understand the discount effectively.

Julia purchased a sweatshirt that was reduced from $38 to sell for $27. What was the markdown and the rate of markdown?

Learn how to calculate the markdown and the rate of markdown for a sweatshirt reduced from $38 to $27. This problem covers basic arithmetic concepts and percentage calculations. Suitable for students in Grades 5-7.

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