Math Problem Statement
Markups. A college bookstore marks up the price it pays the publisher for a book by 25%. If the selling price of a book is $79, how much did the bookstore pay for the book?
Solution
Let the price the bookstore paid for the book be .
The bookstore marks up the price by 25%, so the selling price can be expressed as:
We are given that the selling price is $79. Therefore:
To find , divide both sides by 1.25:
Calculating this:
So, the bookstore paid $63.20 for the book.
Would you like further explanation or have any questions?
Here are some related questions:
- How would the calculation change if the markup was 30% instead of 25%?
- If the bookstore had a sale with a 10% discount on the $79 selling price, what would be the new selling price?
- What would the markup percentage need to be for the bookstore to sell the book at $100?
- How can we calculate the original price if we know the markup percentage and final price?
- How much profit does the bookstore make on each book sold at $79?
Tip: To reverse a percentage increase, divide the final price by .
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Math Problem Analysis
Mathematical Concepts
Algebra
Percentage
Markup Calculation
Formulas
Selling Price = Cost Price * (1 + Markup Rate)
Theorems
-
Suitable Grade Level
Grades 6-8
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