Math Problem Statement

The cost to a distributor for a product is $32. The distributor sells the product for $90 to his customers. What is the markup rate? Be sure to round your answer to the nearest whole percent, e.g. 0.435 would be 44%.

Solution

To find the markup rate, we use the following formula:

Markup Rate=Selling PriceCost PriceCost Price×100\text{Markup Rate} = \frac{\text{Selling Price} - \text{Cost Price}}{\text{Cost Price}} \times 100

Here:

  • Cost Price = $32
  • Selling Price = $90

Substituting the values:

Markup Rate=903232×100=5832×100181.25%\text{Markup Rate} = \frac{90 - 32}{32} \times 100 = \frac{58}{32} \times 100 \approx 181.25\%

Rounding to the nearest whole percent:

Markup Rate=181%\text{Markup Rate} = 181\%

The markup rate is 181%.

Would you like further details or have any questions?

Here are five related questions for further practice:

  1. What would the markup rate be if the cost price was $50 and the selling price $120?
  2. If the markup rate is 200% and the cost price is $40, what is the selling price?
  3. How would the markup rate change if the cost increased to $40 but the selling price remained $90?
  4. What is the formula for calculating the cost price given the selling price and markup rate?
  5. How does a discount on the selling price affect the markup rate?

Tip: To quickly estimate a markup, divide the difference between the selling price and cost price by the cost price, then multiply by 100!

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Math Problem Analysis

Mathematical Concepts

Percentage Calculation
Markup Rate

Formulas

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

Theorems

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Suitable Grade Level

Grades 6-8