A general contractor in Raleigh has 12 employees working on a commercial building project. The total weekly payroll is $18,500. If the workers compensation rate is $12.75 per $100 of payroll for this type of work, what is the weekly premium?
Correct Answer
A) $2,358.75
Weekly premium = ($18,500 ÷ $100) × $12.75 = 185 × $12.75 = $2,358.75
Why This Is the Correct Answer
Workers' comp premium = (Payroll ÷ 100) × Rate. Step 1: $18,500 ÷ 100 = 185 units. Step 2: 185 × $12.75 = $2,358.75. The number of employees (12) is not used in this calculation — it is a distractor.
Why the Other Options Are Wrong
Option B: $2,258.75
$2,258.75 is $100 less than the correct answer, likely resulting from a subtraction error or using $12.75 × 177 instead of 185 (misreading payroll as $17,700).
Option C: $2,058.75
$2,058.75 is $300 less than the correct answer, possibly from computing 185 × $11.13 or from a larger payroll misread. Does not match any straightforward calculation of the given inputs.
Option D: $2,158.75
$2,158.75 is $200 less than the correct answer. Could result from using a rate of ~$11.67 per $100 or from a payroll figure of $16,931. Does not reflect the problem's numbers correctly.
Memory Technique
Workers' comp formula: Payroll ÷ 100, then × Rate. Think of it as '$X per hundred dollars earned.' Always divide first, multiply second. The employee count is just scenery — ignore it.
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