AMC10 2007 A

AMC10 2007 A · Q7

AMC10 2007 A · Q7. It mainly tests Fractions, Percent.

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?

去年，John Q. Public先生收到一笔遗产。他支付了20\%的联邦税，然后对他剩下的钱支付了10\%的州税。两项税款总共支付了$\$$10,500。他继承的遗产有多少美元？

(A) 30,000 30000

(B) 32,500 32500

(D) 37,500 37500

(E) 40,000 40000

Answer

Correct choice: (D)

正确答案：（D）

Solution

Answer (D): After paying the federal taxes, Mr. Public had 80% of his inheritance money left. He paid 10% of that, or 8% of his inheritance, in state taxes. Hence his total tax bill was 28% of his inheritance, and his inheritance was \$10,500/0.28 = \$37,500.

答案（D）：缴纳联邦税后，Public 先生还剩下其遗产的 80%。他又支付了剩余部分的 10%（也就是遗产的 8%）作为州税。因此他的总税额是遗产的 28%，所以遗产总额为 \$10,500/0.28 = \$37,500。

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