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 find the percent markup on the product, we use the formula:

Markup Percentage=(Selling PriceCost PriceCost Price)×100\text{Markup Percentage} = \left( \frac{\text{Selling Price} - \text{Cost Price}}{\text{Cost Price}} \right) \times 100

In this case:

  • Selling Price = $13.99
  • Cost Price = $8.19

Now, let's plug these values into the formula:

Markup Percentage=(13.998.198.19)×100\text{Markup Percentage} = \left( \frac{13.99 - 8.19}{8.19} \right) \times 100

Markup Percentage=(5.808.19)×100\text{Markup Percentage} = \left( \frac{5.80}{8.19} \right) \times 100

Markup Percentage0.7085×100\text{Markup Percentage} \approx 0.7085 \times 100

Markup Percentage70.85%\text{Markup Percentage} \approx 70.85\%

So, the product was marked up by approximately 70.85%.


Would you like to go over how markup percentages work in more detail? Or perhaps a similar example?

Here are a few related questions to explore further:

  1. How do businesses calculate the final selling price with a target markup percentage?
  2. What is the difference between markup and margin in pricing?
  3. How would a discount on a product affect its markup percentage?
  4. How do you calculate the selling price from a given cost price and markup percentage?
  5. How do production costs impact the pricing strategy of a business?

Tip: Understanding the difference between markup (the percentage added to the cost price) and margin (the percentage of the selling price that is profit) is crucial in pricing strategies!

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Math Problem Analysis

Mathematical Concepts

Percentage
Markup Calculation
Profit Margin

Formulas

Markup Percentage = ((Selling Price - Cost Price) / Cost Price) * 100

Theorems

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Suitable Grade Level

Grades 6-8