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.)
Correct answer: C. $30.00
- A. $7.20
- B. $10.80
- C. $30.00
- D. $45.00
Explanation
Choice C is correct. 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.
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About Quantitative Reasoning
Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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