Math Problem Statement
Choose the example that shows a markup on cost of higher than 100%? Question 1 options: Cost = $100; Expenses=$20; Profit=$80 Cost = $120; Markup = $100 Cost = $100; Selling Price= $120 Cost= $100; Selling Price= $220
Solution
To determine which example shows a markup on cost higher than 100%, we need to calculate the markup percentage for each option.
The formula for markup percentage is:
Now, let's apply this formula to each option:
-
Cost = $100; Expenses = $20; Profit = $80
- Selling Price = Cost + Profit = $100 + $80 = $180
- Markup = (This is not higher than 100%.)
-
Cost = $120; Markup = $100
- Selling Price = Cost + Markup = $120 + $100 = $220
- Markup Percentage = (This is not higher than 100%.)
-
Cost = $100; Selling Price = $120
- Markup Percentage = (This is not higher than 100%.)
-
Cost = $100; Selling Price = $220
- Markup Percentage = (This is higher than 100%.)
Answer: The correct example is the fourth option:
- Cost = $100; Selling Price = $220, which gives a markup of 120%.
Would you like any further details on this? Here are some related questions you might find interesting:
- What is the difference between markup and margin?
- How can you calculate profit if you know the markup percentage and cost?
- What happens if the markup percentage is too high?
- How does understanding markup help in setting prices for products?
- Can you give an example where the markup percentage is less than 50%?
Tip: Always remember that markup is based on the cost price, while margin is based on the selling price.
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Math Problem Analysis
Mathematical Concepts
Markup
Percentage
Profit and Loss Calculations
Formulas
Markup Percentage = ((Selling Price - Cost) / Cost) * 100
Theorems
-
Suitable Grade Level
Grades 7-10