Math Problem Statement
The image contains four problems related to commission calculations, involving real estate agents, jewelry sellers, computer salespeople, and beauty supply sellers.
Solution
Let's solve each of the problems step by step:
1. Real estate agent commission
- Given: The agent sold a house for ₱315,000. Her commission rate is 1.25% of the selling price.
- To find: The amount of her commission.
Solution: The agent's commission is ₱3,937.50.
2. Roberta's earnings
- Given: Roberta makes ₱9 per hour plus a 12.5% commission on jewelry sales. She works an 8-hour shift and sells ₱380 worth of jewelry.
- To find: How much she earns in total.
Solution:
- Roberta's hourly wage:
- Her commission from jewelry sales:
- Total earnings: Roberta earns ₱119.50 for that shift.
3. Kevin's commission
- Given: Kevin earns a base pay of ₱325 per week and earned a total of ₱1125 last week, including a commission.
- To find: How much of his earnings was commission.
Solution: Kevin's commission is ₱800.
4. Danielle's commission
- Given: Danielle has a base salary of ₱450 per week plus a 9% commission on sales. She sold ₱895 worth of beauty supplies.
- To find: The commission she earns for that week.
Solution: Danielle's commission for that week is ₱80.55.
Do you have any further questions or need more details on these solutions?
Additional related questions:
- How much would the real estate agent earn if her commission rate was 2% instead of 1.25%?
- If Roberta sold ₱500 worth of jewelry, how much would she earn?
- What is the percentage of Kevin's commission compared to his total earnings?
- If Danielle's base salary was increased to ₱500, how would that affect her total earnings with the same sales?
- If Kevin earned a total of ₱1500 one week, what would his commission be, assuming his base pay stays the same?
Tip:
To quickly calculate commission, always multiply the sales amount by the commission rate in decimal form (e.g., 9% becomes 0.09).
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Math Problem Analysis
Mathematical Concepts
Percentages
Basic Arithmetic
Commission Calculation
Formulas
Commission = Selling Price × Commission Rate
Total Earnings = Hourly Wage × Hours Worked + Commission on Sales
Commission = Total Earnings - Base Pay
Commission = Sales × Commission Rate
Theorems
Basic commission calculation based on percentage rates.
Suitable Grade Level
Grades 6-8