Math Problem Statement

A boutique decides to markup some popular items to make a better profit.

Select the markup price for each item.

$25.20	$25.30	$21.60

$22 shirt marked up 15% □ ​​​​□ □ $18 hat marked up 20% □ □ □ $24 skirt marked up 5% □ □ □ 4b. Find the difference between the marked-up price of the shirt and its original price.

$

Solution

Let's calculate the markup prices for each item:

1. $22 shirt marked up 15%:

  • Markup amount = 15% of $22 = 22×15100=3.3022 \times \frac{15}{100} = 3.30
  • Marked-up price = $22 + $3.30 = $25.30

2. $18 hat marked up 20%:

  • Markup amount = 20% of $18 = 18×20100=3.6018 \times \frac{20}{100} = 3.60
  • Marked-up price = $18 + $3.60 = $21.60

3. $24 skirt marked up 5%:

  • Markup amount = 5% of $24 = 24×5100=1.2024 \times \frac{5}{100} = 1.20
  • Marked-up price = $24 + $1.20 = $25.20

4b. Difference between marked-up price and original price of the shirt:

  • Marked-up price of the shirt = $25.30
  • Original price = $22.00
  • Difference = $25.30 - $22 = $3.30

Let me know if you have any questions or want further details!

Here are five related questions to expand on this:

  1. How would you calculate the markup price for a $30 jacket marked up 10%?
  2. What is the markup percentage if a $20 item is marked up to $26?
  3. How would you find the total profit made from selling 10 shirts marked up 15%?
  4. How does the markup percentage affect customer demand in a boutique setting?
  5. If an item is marked up twice, once by 10% and then by 5%, how do you calculate the final price?

Tip: When calculating percentages, breaking them into decimal form simplifies the process (e.g., 15% becomes 0.15).

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Math Problem Analysis

Mathematical Concepts

Percentages
Price Markup

Formulas

Markup amount = Original price * (Markup percentage / 100)
Marked-up price = Original price + Markup amount
Difference between prices = Marked-up price - Original price

Theorems

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Suitable Grade Level

Grades 5-7