2005 AMC 12B Problems/Problem 1

Revision as of 22:06, 17 April 2009 by M1sterzer0 (talk | contribs) (Solution)

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*}

See also

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