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A book was on sale for 40% off its origi...

A book was on sale for 40% off its original price. If the sale price of the book was $18.00, what was the original price of the book? (Assume there is no sales tax.)

A

7.2

B

10.8

C

30

D

45

Text Solution

Verified by Experts

The correct Answer is:
C

Let x represent the original price of the book. Then, 40% off of x is (1 − 0.40)x, or 0.60x. Since the sale price is $18.00, then 0.60x = 18. Dividing both sides of this equation by 0.60 yields x = 30. Therefore, the original price of the book was $30.
Choice A is incorrect and may result from computing 40% of the sale price. Choice B is incorrect and may result from computing 40% off the sale price instead of the original price. Choice D is incorrect and may result from computing the original price of a book whose sale price is $18 when the sale is for 60% off the original price.
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