1960 AMC 12 第 3 题

Question

对一张金额为

\$10{,}000

的账单，打

40\%

的折扣与先后打

36\%

和

4\%

的两次折扣之间的差额（以美元计）是：

Applied to a bill for

\$10{,}000

the difference between a discount of

40\%

and two successive discounts of

36\%

and

4\%,

expressed in dollars, is:

0

144

256

400

416

连续折扣应依次计算，而不是直接相加

Successive discounts are applied one after the other, not added

将账单的

40\%

与其

36\%

再加上剩余

64\%

的

4\%

比较

Compare

40\%

of the bill with

36\%

plus

4\%

of the remaining

64\%

40\%

的折扣为

\$4000

。两次连续折扣的总额为

3600+0.04(6400)=3856\text{。}

两者之差为

4000-3856=144

美元。

因此，正确答案是 B。

A

40\%

discount is

\$4000.

The successive discounts total

3600+0.04(6400)=3856.

Their difference is

4000-3856=144

dollars.

Therefore, the correct answer is B.

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