Question

去年 John Q. Public 先生收到一笔遗产。他对这笔遗产支付了 $20\%$ 的联邦税，又对剩下的钱支付了 $10\%$ 的州税。两种税合计为 $\$10{,}500$ 。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：百分数一次方程

难度评级：1070

解答：

联邦税后，Public 先生保留遗产的 $80\%$ 。

州税取这部分的 $10\%$ ，即遗产的 $8\%$ 。

总税额为遗产的 $20\% + 8\% = 28\%$ ，所以遗产为 $\dfrac{10{,}500}{0.28} = 37{,}500.$

所以正确答案是 D。

After federal taxes, Mr. Public keeps $80\%$ of his inheritance.

State taxes take $10\%$ of that, which is $8\%$ of the inheritance.

The total tax is $20\% + 8\% = 28\%$ of the inheritance, so the inheritance is $\dfrac{10{,}500}{0.28} = 37{,}500.$

Thus, the correct answer is D.

2007 AMC 10A 第 7 题

答案：D

难度评级：1070

解答：

其他年份的第 7 题