1969 AMC 12 第 2 题

Question

若某商品以

x

美元售出，则按成本计算亏损

15\%

。但若同一商品以

y

美元售出，则按成本计算获利

15\%

。比值

y:x

为：

If an item is sold for

x

dollars, there is a loss of

15\%

based on the cost. If, however, the same item is sold for

y

dollars, there is a profit of

15\%

based on the cost. The ratio

y:x

is:

23:17

17y:23

23x:17

取决于成本

dependent upon the cost

以上均不是

none of these

设成本为

C

Let the cost be

C

写出

x=0.85C

和

y=1.15C

，再求其比值

Write

x=0.85C

and

y=1.15C,

then form the ratio

若成本为

C

，则

x=0.85C

且

y=1.15C

。因此

\begin{aligned} y:x&=1.15C:0.85C\\ &=115:85=23:17 \end{aligned}\text{。}

因此，正确答案是 A。

If the cost is

C,

then

x=0.85C

and

y=1.15C.

Therefore

\begin{aligned} y:x&=1.15C:0.85C\\ &=115:85=23:17. \end{aligned}

Therefore, the correct answer is A.

其他年份的第 2 题