2007 AMC 12A 第 5 题

Question

去年 John Q. Public 先生得到了一笔遗产。他为这笔遗产缴纳了

20\%

的联邦税，并对剩余的钱缴纳了

10\%

的州税。他两项税共缴纳

\$10{,}500

。这笔遗产是多少美元？

Last year Mr. John Q. Public received an inheritance. He paid

20\%

in federal taxes on the inheritance, and paid

10\%

of what he had left in state taxes. He paid a total of

\$10{,}500

for both taxes. How many dollars was the inheritance?

30{,}000

32{,}500

35{,}000

37{,}500

40{,}000

答案：D

知识点：百分数逆推法

难度评级：1200

小提示：

缴纳

20\%

的联邦税后，剩下

80\%

；州税是这部分的

10\%

。

After the

20\%

federal tax,

80\%

remains; the state tax is

10\%

of that

大提示：

两项税合计为遗产的

20\%+8\%=28\%

。

The two taxes together are

20\%+8\%=28\%

of the inheritance

解答：

缴纳联邦税后，Public 先生保留遗产的

80\%

。

他为这部分缴纳

10\%

的州税，也就是遗产的

8\%

。

总税额是遗产的

20\%+8\%=28\%

，所以遗产为

\frac{\$10{,}500}{0.28}=\$37{,}500

。

因此，正确答案是 D。

After federal taxes, Mr. Public keeps

80\%

of his inheritance.

He pays

10\%

of that in state taxes, which is

8\%

of the inheritance.

His total tax is

20\%+8\%=28\%

of the inheritance, so the inheritance is

\frac{\$10{,}500}{0.28}=\$37{,}500.

Thus, the correct answer is D.

2007 AMC 12A 第 5 题

答案：D

难度评级：1200

小提示：

大提示：

解答：

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