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AMC8 1992 Test Paper
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Sample Question 8:

A store owner bought \(1500\) pencils at \(\$0.10\) each. If he sells them for \(\$0.25\) each, how many of them must he sell to make a profit of exactly \(\$100.00\)?

\(\text{(A)}\ 400 \qquad \text{(B)}\ 667 \qquad \text{(C)}\ 1000 \qquad \text{(D)}\ 1500 \qquad \text{(E)}\ 1900\)




Answer Keys

Question 8: C


Solutions

Question 8
Step 1: Calculate the total cost spent to buy 1500 pencils each at $0.10, by multiplying: \(1500 \times 0.1 = 150\). Hence, the expenditure of the store owner is $150.
Step 2: To make a profit of $100, he needs to earn \(150 + 100 = \$250\).
Step 3: Determining how many pencils he needs to sell to earn $250, when selling them at $0.25 each, we have: \(250 / 0.25 = 1000\). Hence, the store owner must sell 1000 pencils to make a profit of exactly $100. Therefore, the answer is \(\textbf{(C)}\ 1000\).