1954 AMC 12 第 11 题

Question

一位商人展示了一些连衣裙，每件都标有价格。然后他贴出告示：“这些连衣裙降价

\dfrac13

。”连衣裙的成本是实际售价的

\dfrac34

。那么成本与标价之比为：

A merchant placed on display some dresses, each with a marked price. He then posted a sign “

\dfrac13

off on these dresses.” The cost of the dresses was

\dfrac34

of the price at which he actually sold them. Then the ratio of the cost to the marked price was:

\dfrac12

\dfrac13

\dfrac14

\dfrac23

\dfrac34

售价是标价的

\frac{2}{3}

The selling price is

\frac{2}{3}

of the marked price

成本是该售价的

\frac{3}{4}

The cost is

\frac{3}{4}

of that selling price

若标价为

M

，则售价为

\frac{2M}{3}

。因此成本为

\frac34\cdot\frac23M=\frac12M\text{。}

成本与标价之比为

\frac{1}{2}

。

因此，正确答案是 A。

If the marked price is

M,

then the selling price is

\frac{2M}{3}.

The cost is therefore

\frac34\cdot\frac23M=\frac12M.

The cost-to-marked-price ratio is

\frac{1}{2}.

Thus, the correct answer is A.

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