AMC 8 2002 Problem 14
AMC8 2002 年第 14 题
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A merchant offers a large group of items at 30% off. Later, the merchant takes 20% off these sale prices. The total discount is
一位商人以 30％的折扣提供大量商品。后来，商家又在此折扣价的基础上降低 20％，并声称这些商品的最终价格比原价低 50％。则商品的总折扣是
- A.35%
- B.44%
- C.50%
- D.56%
- E.60%
正确答案 · Correct Answer
B
解析 · Solution
Solution 1
Let's assume that each item is 100 dollars. First we take off 30% off of 100 dollars. Next, we take off the extra 20% as asked by the problem. So the final price of an item is $56. We have to do 100-56 because 56 was the final price and we wanted the discount. So the final answer is 44%, which is answer choice 44 %.
Let be the price of an item on sale. When the item is 30% off, its new price is (1-0.3)x=0.7x. When 20% is taken off of that price, the item's final sales price is Therefore, the item was 44% off, so the answer is.
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