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 xx.

The bookstore marks up the price by 25%, so the selling price can be expressed as: x+0.25x=1.25xx + 0.25x = 1.25x

We are given that the selling price is $79. Therefore: 1.25x=791.25x = 79

To find xx, divide both sides by 1.25: x=791.25x = \frac{79}{1.25}

Calculating this: x=63.20x = 63.20

So, the bookstore paid $63.20 for the book.

Would you like further explanation or have any questions?

Here are some related questions:

  1. How would the calculation change if the markup was 30% instead of 25%?
  2. If the bookstore had a sale with a 10% discount on the $79 selling price, what would be the new selling price?
  3. What would the markup percentage need to be for the bookstore to sell the book at $100?
  4. How can we calculate the original price if we know the markup percentage and final price?
  5. How much profit does the bookstore make on each book sold at $79?

Tip: To reverse a percentage increase, divide the final price by 1+markup rate1 + \text{markup rate}.

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Math Problem Analysis

Mathematical Concepts

Algebra
Percentage
Markup Calculation

Formulas

Selling Price = Cost Price * (1 + Markup Rate)

Theorems

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Suitable Grade Level

Grades 6-8