A contractor's workers compensation premium is calculated based on a rate of $8.50 per $100 of payroll for a specific classification. If the annual payroll for this classification is $450,000, what is the workers compensation premium?
Correct Answer
D) $38,250
Workers comp premium = (Payroll ÷ 100) × Rate. ($450,000 ÷ 100) × $8.50 = 4,500 × $8.50 = $38,250.
Why This Is the Correct Answer
The workers compensation premium calculation follows the standard formula where the rate is applied per $100 of payroll. First, divide the total payroll by 100 to determine how many $100 units exist ($450,000 ÷ 100 = 4,500 units). Then multiply this by the rate of $8.50 per $100 to get the premium (4,500 × $8.50 = $38,250). This represents 8.5% of the total payroll, which is typical for workers compensation premiums.
Why the Other Options Are Wrong
Option A: $3,825
Option D ($45,000) is incorrect because it represents 10% of the payroll amount rather than applying the proper rate calculation. This suggests confusion between percentage-based calculations and the per-$100 rate structure used in workers compensation insurance.
Option B: $52,941
Option C ($52,941) is incorrect because it appears to result from dividing the rate by the payroll instead of multiplying, or using an incorrect formula altogether. This represents a fundamental misunderstanding of how workers compensation premiums are calculated.
Option C: $45,000
Option B ($3,825) is incorrect because it represents only 10% of the correct premium. This error likely occurs from miscalculating the payroll units, possibly dividing by 1,000 instead of 100, or making a decimal place error in the final multiplication step.
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