A college bookstore marks up the price that it pays the publisher for a book by 35 %.  If the selling price of a book is $ 120.00 , how much did the bookstore pay for this​ book?

To determine how much the bookstore paid for the book, we can set up the following relationship between the cost price (the amount the bookstore paid) and the selling price.

Let $ x $ be the amount the bookstore paid for the book.

Given:
- The bookstore marks up the price by 35%, which means the selling price is 135% of the cost price.
- The selling price is $120.00.

The relationship can be expressed as:

\[
1.35x = 120
\]

To find $ x $, we divide both sides by 1.35:

\[
x = \frac{120}{1.35}
\]

Now, let's calculate the cost price.

\[
x \approx \frac{120}{1.35} \approx 88.89
\]

So, the bookstore paid approximately **$88.89** for the book.

Would you like further details or have any questions?

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Here are 5 related questions to explore:

1. What would the selling price be if the bookstore marked up the price by 50%?
2. If the bookstore paid $75 for a different book, what would be its selling price at a 35% markup?
3. How much would the bookstore pay for a book if its selling price is $150 with a 20% markup?
4. If a book's selling price is $200, what was the original cost before a 25% markup?
5. How does the percentage markup affect the final selling price of books in general?

**Tip:** When calculating markup, always remember that the markup percentage is applied to the cost price, not the selling price.

Learn how to calculate the cost price when given the selling price with a 35% markup. This problem involves understanding percentages and markup calculations. Suitable for high school students.

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