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：

其他年份的第 5 题