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1988 AJHSME Problems/Problem 23

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Problem

Maria buys computer disks at a price of 4 for $5 and sells them at a price of 3 for $5. How many computer disks must she sell in order to make a profit of $100?

\text{(A)}\ 100 \qquad \text{(B)}\ 120 \qquad \text{(C)}\ 200 \qquad \text{(D)}\ 240 \qquad \text{(E)}\ 1200

Solution

This is the equivalent of saying she buys 12 for $15 and sells 12 for $20, so for every dozen disks she sells, she profits $5.

She needs to profit $100, so she needs to sell \frac{100}{5}=20 dozen disks, which is 240\rightarrow \boxed{\text{D}}

See Also

1988 AJHSME (ProblemsResources)
Preceded by
Problem 22
Followed by
Problem 24
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