Math Problem Statement

You purchased a new pair of leather gloves on sale for $27.98. If the original price for the gloves was $34.00, what percentage of the sale price was the markdown? Round percentage to two decimal places

Solution

To calculate the percentage markdown, follow these steps:

  1. Find the amount of the markdown: Markdown Amount=Original PriceSale Price\text{Markdown Amount} = \text{Original Price} - \text{Sale Price} Markdown Amount=34.0027.98=6.02\text{Markdown Amount} = 34.00 - 27.98 = 6.02

  2. Calculate the markdown percentage: Markdown Percentage=(Markdown AmountOriginal Price)×100\text{Markdown Percentage} = \left( \frac{\text{Markdown Amount}}{\text{Original Price}} \right) \times 100 Markdown Percentage=(6.0234.00)×10017.71%\text{Markdown Percentage} = \left( \frac{6.02}{34.00} \right) \times 100 \approx 17.71\%

Final Answer:

The markdown percentage is 17.71%.

Would you like a detailed explanation or clarification on any step?

Here are 5 related questions to expand your understanding:

  1. How do you calculate the markdown percentage for items with multiple discounts?
  2. What is the formula to find the sale price when the discount percentage is given?
  3. Can markdown percentages vary based on taxes or additional charges?
  4. How can markdowns affect profit margins in retail?
  5. If an item is marked down multiple times, how do you compute the final percentage markdown?

Tip: Always check the original price before purchasing sale items to calculate the real savings.

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Math Problem Analysis

Mathematical Concepts

Percentages
Discount Calculation

Formulas

Markdown Amount = Original Price - Sale Price
Markdown Percentage = (Markdown Amount / Original Price) × 100

Theorems

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Suitable Grade Level

Grades 6-8