A real estate broker receives a commission of 3% of the selling price of a house. If the broker receives a commission of $10,710 on the sale of a home, what was the selling price of the home?

To find the selling price of the home, we can set up the problem using the following formula:

\[
\text{Commission} = \text{Commission Rate} \times \text{Selling Price}
\]

We are given:
- Commission = $10,710
- Commission Rate = 3% = 0.03

Let $ P $ be the selling price of the home. The equation is:

\[
10,710 = 0.03 \times P
\]

To solve for $ P $, divide both sides of the equation by 0.03:

\[
P = \frac{10,710}{0.03}
\]

\[
P = 357,000
\]

So, the selling price of the home was **$357,000**.

Would you like further details or have any other questions?

Here are some related questions you might find interesting:

1. What would be the broker's commission if the selling price was $500,000?
2. If a different broker charges 2.5% commission, what would their commission be on a $357,000 sale?
3. How would the commission change if the selling price was reduced by 10%?
4. What is the selling price if the broker's commission was $5,355?
5. How do you calculate the selling price if the commission rate changes to 4%?

**Tip:** When dealing with percentages, it's often helpful to convert the percentage to a decimal by dividing by 100.

Learn how to calculate the selling price of a home when given the broker's commission. Use the formula: Commission = Rate * Selling Price. Solve the problem step-by-step with an example where a broker receives $10,710 at a 3% commission rate. Suitable for high school students.

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