2005 AMC 12B Problems/Problem 1

Problem

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?

$\mathrm{(A)}\ 100 \qquad \mathrm{(B)}\ 200 \qquad \mathrm{(C)}\ 300 \qquad \mathrm{(D)}\ 400 \qquad \mathrm{(E)}\ 500$

Solution

$\begin{align*} \mbox{Cash out} &= 1000 \cdot \frac25 = 400 \\ \mbox{Cash in} &= 1000 \cdot \frac12 = 500 \\ \mbox{Profit} &= \mbox{Cash out} - \mbox{Cash in} = 500-400 = \boxed{100}. \end{align*}$

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2005 AMC 12B Problems/Problem 1

Problem

Solution

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