Suppose a college bookstore buys a textbook from a publishing company and then marks up the price they paid for the book 25% and sells it to a student at the marked-up price. If the student pays $140 for the textbook, what did the bookstore pay for it? Round your answer to the nearest cent.

Respuesta :

Answer:

The book store paid $112.0 for the textbook.

Step-by-step explanation:

Let x represent amount of book paid by bookstore.

We have been given that a college bookstore buys a textbook from a publishing company and then marks up the price they paid for the book 25% and sells it to a student at the marked-up price.

The total price of the book after 25% markup would be x plus 25% of x.

We have been given that the student pays $140 for the textbook. We can represent this information in an equation as:

[tex]x+\frac{25}{100}x=140[/tex]

[tex]x+0.25x=140[/tex]

[tex]1.25x=140[/tex]

[tex]\frac{1.25x}{1.25}=\frac{140}{1.25}[/tex]

[tex]x=112.0[/tex]

Therefore, the book store paid $112.0 for the textbook.