1964 AMC 12 第 14 题

Question

一位农民买了

749

只羊。他卖出其中

700

只，所得正好等于购买

749

只羊的总成本。剩余

49

只羊的每只售价与前

700

只相同。相对于成本，整笔交易的利润百分比是：

A farmer bought

749

sheep. He sold

700

of them for the price paid for the

749

sheep. The remaining

49

sheep were sold at the same price per head as the other

700.

Based on the cost, the percent gain on the entire transaction is:

6.5

6.75

7

7.5

8

设总购买成本为

C

Let the total purchase cost be

C

每只羊的售价为

\frac{C}{700}

The selling price per sheep is

\frac{C}{700}

设总成本为

C

。由于前

700

只羊共卖得

C

，每只售价为

\frac{C}{700}

。因此总收入为

\frac{749C}{700}=1.07C

，利润为

7\%

。

因此，正确答案是 C。

Let the total cost be

C.

Since the first

700

sheep sell for

C,

each sheep sells for

\frac{C}{700}.

Total revenue is therefore

\frac{749C}{700}=1.07C,

a

7\%

gain.

Thus, the correct answer is C.

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