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Problem-Solving and Data Analysis Difficulty: Hard

A reseller buys certain books for a purchase price of 5.00 dollars each and then marks them each for sale at a consumer price that is 270% of the purchase price. After 4 months, any remaining books not yet sold are marked at a discounted price that is 70% off the consumer price. What is the discounted price of each of the remaining books, in dollars?

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Explanation

The correct answer is 4.05. It's given that the purchase price for certain books is 5.00 dollars each. It's also given that each book is marked for sale at a consumer price that is 270% of the purchase price. Since the consumer price is 270% of the purchase price of 5.00 dollars, it follows that the consumer price is (2.7)(5.00), or 13.50, dollars. It's given that after 4 months, any remaining books are discounted at 70% off the consumer price. Thus, the discount amount is (0.7)(13.50), or 9.45, dollars. Subtracting the discount amount from the consumer price gives the discounted price of each of the remaining books: 13.50-9.45=4.05. Note that 4.05 and 81/20 are examples of ways to enter a correct answer.