If a salesman received a commission of 3% of the sales that he has booked in a month, what was the sales booked by the salesman in the month of November 2003? 1. The sales booked by the salesman in the month of November 2003 minus the salesman's commission was $245,000 2. The selling price of the sales booked by the salesman in the month of November 2003 was 125 percent of the original purchase price of $225,000.
A. Statement (1) ALONE is sufficient, but Statement (2) alone is not sufficient to answer the question asked.
B. Statement (2) ALONE is sufficient, but Statement (1) alone is not sufficient to answer the question asked.
C. Both Statements (1) and (2) TOGETHER are sufficient to answer the question asked; but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient to answer the question.
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Explanation: Let \(s\) be the sales booked and \(c\) be the commission. From the stem: \(c = 0.03s\). The question asks for \(s\). **Statement 1:** \(s - c = 245,000\). Substitute \(c = 0.03s\) into the equation: \(s - 0.03s = 245,000\). \(0.97s = 245,000\). \(s = \frac{245,000}{0.97}\). This is a single linear equation with one variable, so a unique value for \(s\) can be found. **Sufficient.**. **Statement 2:** The selling price (\(s\)) was 125 percent of the original purchase price of \$225,000. \(s = 1.25 \times 225,000\). \(s = 281,250\). This statement directly gives a unique value for \(s\). **Sufficient.**. Since EACH statement ALONE is sufficient, the answer is D.
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