AMC12 2007 A

AMC12 2007 A · Q5

AMC12 2007 A · Q5. It mainly tests Fractions, Percent.

Last year Mr. Jon 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 $\$10500$ for both taxes. How many dollars was his inheritance?

去年，Mr. Jon Q. Public收到一笔遗产。他为这笔遗产缴纳了$20\%$的联邦税，并对剩余金额缴纳了$10\%$的州税。他两项税共缴纳了 $\$10500$。他的遗产是多少美元？

(A) 30,000 30,000

(B) 32,500 32,500

(D) 37,500 37,500

(E) 40,000 40,000

Answer

Correct choice: (D)

正确答案：（D）

Solution

After paying his taxes, he has $0.8*0.9=0.72$ of his earnings left. Since $10500$ is $0.28$ of his income, he got a total of $\frac{10500}{0.28}=37500\ \mathrm{(D)}$.

缴税后，他剩下收入的$0.8*0.9=0.72$。由于$10500$是他收入的$0.28$，所以他的遗产总额为$\frac{10500}{0.28}=37500\ \mathrm{(D)}$。

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