Math Problem Statement

A realtor makes a commission of $1,500 on a $50,000 house he sells. What is his commission rate?

Solution

To calculate the commission rate, we can use the following formula:

Commission Rate=(Commission EarnedTotal Sale Price)×100\text{Commission Rate} = \left( \frac{\text{Commission Earned}}{\text{Total Sale Price}} \right) \times 100

Given that:

  • The realtor makes a commission of $1,500.
  • The sale price of the house is $50,000.

Now, plug the values into the formula:

Commission Rate=(150050000)×100=3%\text{Commission Rate} = \left( \frac{1500}{50000} \right) \times 100 = 3\%

So, the commission rate is 3%.

Would you like further details or have any questions?

Here are some follow-up questions:

  1. What is the formula for calculating commission if the commission rate is known?
  2. How does the commission rate change if the sale price increases?
  3. Can commission rates differ between real estate transactions, and why?
  4. How do other fees in real estate affect the overall commission amount?
  5. What is the impact of a higher or lower commission rate on the realtor's earnings?

Tip: Always check if the commission rate applies before or after tax to avoid confusion in financial calculations!

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Math Problem Analysis

Mathematical Concepts

Percentages
Proportions

Formulas

Commission Rate = (Commission Earned / Total Sale Price) * 100

Theorems

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Suitable Grade Level

Grades 6-8