Math Problem Statement
Commission: 10 percent on first $5,000.00; 15 percent over $5,000.00; Find the total graduated commission on $22,000.00.
Solution
To calculate the graduated commission on $22,000.00, follow these steps:
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First $5,000:
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Remaining amount: Now calculate 15% of the remaining $17,000:
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Total commission:
So, the total graduated commission on $22,000 is $3,050.00.
Would you like more details on how this type of commission calculation works?
Here are five related questions:
- How would the commission change if the percentage over $5,000 increased to 20%?
- What would be the total commission if the amount was $10,000?
- How do you calculate commissions with more than two rate brackets?
- How can commission structures affect sales incentives?
- How would commission be calculated if there was no tiered structure?
Tip: In commission structures, the base threshold is critical in determining how much of the higher percentage will apply. Always ensure clarity on which part of the amount is affected by each rate.
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Math Problem Analysis
Mathematical Concepts
Percentages
Graduated Commission
Basic Algebra
Formulas
First part commission = base_amount × base_rate
Remaining commission = (total_amount - base_amount) × higher_rate
Total commission = base_commission + remaining_commission
Theorems
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Suitable Grade Level
Grades 9-12