1952 AMC 12 第 14 题

先试着解答 1952 AMC 12 第 14 题,然后核对你的答案与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 1952 AMC 12 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

14.

一栋房屋和一家商店分别以 $12000\$12000 售出。房屋的售价比成本低 20%20\%,商店的售价比成本高 20%20\%。整个交易的结果是:
A house and store were sold for $12000\$12000 each. The house was sold at a loss of 20%20\% of the cost, and the store at a gain of 20%20\% of the cost. The entire transaction resulted in:
不赚不赔
No loss or gain
亏损 $1000\$1000
Loss of $1000\$1000
获利 $1000\$1000
Gain of $1000\$1000
获利 $2000\$2000
Gain of $2000\$2000
以上答案均不正确
None of these
答案:B
知识点:百分数钱币
小提示:
分别由两件资产的售价反求原成本
Recover each original cost from its selling price separately
大提示:
房屋售价为成本的 80%80\%,商店售价为成本的 120%120\%
The house sold for 80%80\% of cost, while the store sold for 120%120\% of cost
解答:
房屋成本为 120000.8=15000\frac{12000}{0.8}=15000 美元,商店成本为 120001.2=10000\frac{12000}{1.2}=10000 美元。总成本为 2500025000 美元,总售价为 2400024000 美元,因此亏损 10001000 美元。
因此,正确答案是 B。
The house cost 120000.8=15000\frac{12000}{0.8}=15000 dollars, and the store cost 120001.2=10000\frac{12000}{1.2}=10000 dollars. The combined cost was 2500025000 dollars, while the combined selling price was 2400024000 dollars, producing a loss of 10001000 dollars.
Thus, the correct answer is B.
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