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