Math Problem Statement
In order to make a profit, businesses must sell (mark up) their product for more than it costs to produce it. If the average production price for a certain product was $8.19, and they sold it for $13.99, by what percent was the product marked up?
Solution
To determine the percentage markup, you can use the following formula:
Given:
- Cost Price = $8.19
- Selling Price = $13.99
Now, substitute the values into the formula:
First, calculate the difference between the selling price and the cost price:
Then, divide this difference by the cost price:
Finally, multiply by 100 to get the percentage:
So, the product was marked up by approximately 70.7%.
Would you like further details on markup calculations or any other related topics?
Here are some follow-up questions for you:
- What would the selling price be if the markup was 50%?
- How would you calculate the profit margin on this product?
- How does a business determine the ideal markup percentage for its products?
- If the cost price increases to $9.50, what would the new markup percentage be?
- What is the difference between markup and profit margin?
Tip: Markup is based on the cost price, while profit margin is based on the selling price. Keep this in mind when comparing these metrics!
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Math Problem Analysis
Mathematical Concepts
Percentage
Markup Calculation
Formulas
Markup Percentage = ((Selling Price - Cost Price) / Cost Price) * 100
Theorems
Percentage Calculation
Suitable Grade Level
Grades 7-9
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How to Calculate Percent Markup: $8.19 Product Sold for $13.99