AMC12 2005 B
AMC12 2005 B · Q1
AMC12 2005 B · Q1. It mainly tests Fractions, Arithmetic misc.
A scout troop buys $1000$ candy bars at a price of five for $2$ dollars. They sell all the candy bars at the price of two for $1$ dollar. What was their profit, in dollars?
一个童子军小队以每5根2美元的价格购买了$1000$根糖果棒。他们以每2根1美元的价格卖出了所有糖果棒。他们的利润是多少美元？
(A)
100
100
(B)
200
200
(C)
300
300
(D)
400
400
(E)
500
500
Answer
Correct choice: (A)
正确答案：（A）
Solution
\begin{align*} \mbox{Expenses} &= 1000 \cdot \frac25 = 400 \\ \mbox{Revenue} &= 1000 \cdot \frac12 = 500 \\ \mbox{Profit} &= \mbox{Revenue} - \mbox{Expenses} = 500-400 = \boxed{\textbf{(A) }100}. \end{align*}
Note: Revenue is a gain.
\begin{align*} \mbox{Expenses} &= 1000 \cdot \frac25 = 400 \\ \mbox{Revenue} &= 1000 \cdot \frac12 = 500 \\ \mbox{Profit} &= \mbox{Revenue} - \mbox{Expenses} = 500-400 = \boxed{\textbf{(A) }100}. \end{align*}
Note: Revenue is a gain.
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