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Question
neil is a salesman, and he earns $100 per day plus a 3% commission. this means that, in addition to $100 per day, he also receives 3% of the value of his sales. on monday, he earned $172 altogether. what was the total value, in dollars, of his sales that day?
Step1: Find commission amount
Subtract daily pay from total earnings.
\(172 - 100 = 72\)
Step2: Relate commission to sales
Let \(x\) be sales value. Commission is \(3\%\) of \(x\), so \(0.03x = 72\).
Step3: Solve for \(x\)
Divide both sides by \(0.03\): \(x=\frac{72}{0.03}=2400\)
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2400