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AMC8 2002

AMC8 2002 · Q14

AMC8 2002 · Q14. It mainly tests Percent.

A merchant offers a large group of items at 30% off. Later, the merchant takes 20% off these sale prices and claims that the final price of these items is 50% off the original price. The total discount is
一个商人对一大群商品打7折。后来,商人再对这些折后价格打8折,并声称这些商品的最终价格是原价的50% off。总折扣是
(A) 35% 35%
(B) 44% 44%
(C) 50% 50%
(D) 56% 56%
(E) 60% 60%
Answer
Correct choice: (B)
正确答案:(B)
Solution
The first discount means that the customer will pay 70% of the original price. The second discount means a selling price of 80% of the discounted price. Because $0.80(0.70) = 0.56 = 56\%$, the customer pays 56% of the original price and thus receives a 44% discount.
第一次折扣意味着顾客支付原价的70%。第二次折扣意味着销售价为折后价格的80%。因为$0.80(0.70) = 0.56 = 56\%$,顾客支付原价的56%,因此获得44%的折扣。
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