题目信息
Store N gives a 50 percent discount on the list price of all its items and Store W gives a 60 percent discount on the list price of all its items. If the list price of the same item is 20 percent higher in Store W, what percent (more or less) of the selling price in Store N is the selling price of the item in Store W ?
A:10% less
B:4% less
C:2% less
D:10% more
E:12% more
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正确答案：
B:4% less
Arithmetic Percents
Let $P be the list price of the item in Store N. The table shows the list and selling prices of the item in the two stores. For example, the selling price of the item in Store W is 60 percent less than the item's list price of $1.2P, or (0.4)($1.2P) = $0.48P.
The amount, in dollars, by which the selling price of the item in Store W is less than the selling price of the item in Store N is 0.5P − 0.48P = 0.02P, which is
= 4% less as a percent of the selling price in Store N.
Alternatively, we can assign a specific value to P and carry out the computations using this value. In percent problems, the computations are usually simpler when 100 is used, so let P = 100. (If, say,
of P had been involved, then P = 300 might be a better choice.) Therefore, the list price of the item in Store N is $100, the discount price of the item in Store N is (50%)($100) = $50, the list price of the item in Store W is (120%)($100) = $120, and the discount price of the item in Store W is (40%)($120) = $48. Thus, the question becomes the following. What percent (more or less) of 50 is 48 ? A simple computation shows that 48 is 
less than 50.
The correct answer is B.
Let $P be the list price of the item in Store N. The table shows the list and selling prices of the item in the two stores. For example, the selling price of the item in Store W is 60 percent less than the item's list price of $1.2P, or (0.4)($1.2P) = $0.48P.
| List price ($) | Selling price ($) | |
| Store N | P | 0.5P |
| Store W | 1.2P | 0.48P |
The amount, in dollars, by which the selling price of the item in Store W is less than the selling price of the item in Store N is 0.5P − 0.48P = 0.02P, which is
= 4% less as a percent of the selling price in Store N.Alternatively, we can assign a specific value to P and carry out the computations using this value. In percent problems, the computations are usually simpler when 100 is used, so let P = 100. (If, say,
of P had been involved, then P = 300 might be a better choice.) Therefore, the list price of the item in Store N is $100, the discount price of the item in Store N is (50%)($100) = $50, the list price of the item in Store W is (120%)($100) = $120, and the discount price of the item in Store W is (40%)($120) = $48. Thus, the question becomes the following. What percent (more or less) of 50 is 48 ? A simple computation shows that 48 is less than 50.The correct answer is B.
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