Math Problem Statement

A computer store buys a computer system at a cost of $463.20. The selling price was first at $772, but then the store advertised a 40% markdown on the system. Answer parts a and b. Find the current sale price.

Solution

The problem asks to calculate the current sale price of a computer system after a 40% markdown.

Given information:

  • Original selling price = $772
  • Markdown percentage = 40%

To find the sale price after the markdown:

  1. A markdown of 40% means the new price will be 60% of the original selling price, as: Sale Price=Original Price×(100%40%)=772×60%\text{Sale Price} = \text{Original Price} \times (100\% - 40\%) = 772 \times 60\%

  2. Calculate the sale price: Sale Price=772×0.60=463.20\text{Sale Price} = 772 \times 0.60 = 463.20

So, the current sale price is $463.20.

Would you like more details on the markdown calculation, or help with the next part of the problem?

Related Questions:

  1. What is the formula for calculating markdowns?
  2. How does a markdown percentage affect the final price?
  3. What would the sale price be if the markdown was 30% instead of 40%?
  4. If the original cost to the store was $463.20, what would be the profit margin before and after the markdown?
  5. How can percentage changes (markups or markdowns) be calculated in different business contexts?

Tip:

When dealing with markdowns, always subtract the markdown percentage from 100% to find the portion of the price that remains after the discount.

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Math Problem Analysis

Mathematical Concepts

Percentages
Markdowns
Basic Arithmetic

Formulas

Sale Price = Original Price × (1 - Markdown Percentage)

Theorems

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Suitable Grade Level

Grades 6-8