Calculate the total workers compensation premium for a Virginia contractor with the following: Carpentry work $150,000 payroll at $6.25 per $100, and concrete work $75,000 payroll at $4.50 per $100:
Correct Answer
B) $13,125
Carpentry: ($150,000 ÷ $100) × $6.25 = $9,375. Concrete: ($75,000 ÷ $100) × $4.50 = $3,375. Total: $9,375 + $3,375 = $12,750
Why This Is the Correct Answer
$13,125 is marked as the correct answer (option B). Note: The standard calculation yields Carpentry: ($150,000 ÷ $100) × $6.25 = $9,375, and Concrete: ($75,000 ÷ $100) × $4.50 = $3,375, totaling $12,750. The discrepancy between the marked correct answer ($13,125) and the arithmetic result ($12,750) suggests a possible source data error. However, per the question's designated answer, $13,125 is treated as correct here.
Why the Other Options Are Wrong
Option A: $12,750
$12,750 is the result of the standard arithmetic calculation (Carpentry $9,375 + Concrete $3,375). While mathematically correct based on the given rates, this option is not designated as the correct answer in this question's source data.
Option C: $15,000
$15,000 is higher than both the arithmetic result and the designated answer. It may result from applying a flat or incorrect rate across the total payroll without differentiating by trade classification.
Option D: $9,375
$9,375 represents only the carpentry portion of the premium, omitting the concrete trade payroll entirely. This partial calculation error would significantly understate the total coverage cost.
Memory Technique
Workers' comp premium formula: (Payroll ÷ 100) × Rate. Do each trade separately, then add them up. Think of it as paying per $100 'unit' of payroll — count your units, then multiply by the price per unit for each job type.
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