A family buys a studio apartment for

$ 240 comma 000$240,000.

They pay a down payment of

$ 36 comma 000$36,000.

**a.** Their down payment is what percent of the purchase​ price?

**b.** What percent of the purchase price would

ann

​$84 comma 00084,000

down payment​ be?

Question content area bottom

Part 1

**a.** The down payment is

enter your response here​%

of the purchase price.

​(Type a whole​ number.)

Let's break this down:

**a.** To find what percent the down payment is of the purchase price, use the formula:

\[
\text{Percent} = \left( \frac{\text{Down Payment}}{\text{Purchase Price}} \right) \times 100
\]

In this case, the down payment is $36,000 and the purchase price is $240,000. So,

\[
\text{Percent} = \left( \frac{36,000}{240,000} \right) \times 100 = 15\%
\]

So, the down payment is **15%** of the purchase price.

**b.** To calculate what percent a $84,000 down payment would be, use the same formula:

\[
\text{Percent} = \left( \frac{84,000}{240,000} \right) \times 100 = 35\%
\]

So, a $84,000 down payment would be **35%** of the purchase price.

Would you like a more detailed explanation or any additional help?

### Relative Questions:
1. What is the formula to calculate the percentage of any number relative to another?
2. If the down payment was $50,000, what percent would it be of the purchase price?
3. How can you calculate the purchase price if you only know the down payment percentage?
4. What if the purchase price was $300,000 with the same down payment, what percent would it be?
5. How do down payments impact mortgage calculations?

### Tip: When calculating percentages, always ensure you're working with the same units (e.g., dollars to dollars) and multiply the ratio by 100 to convert it into a percentage.

A family buys a studio apartment for $240,000. They pay a down payment of $36,000. a) Their down payment is what percent of the purchase price? b) What percent of the purchase price would an $84,000 down payment be?

Learn how to calculate the percentage of a down payment for a $240,000 studio apartment. This problem covers key percentage concepts and applies the ratio formula. Discover the calculations for down payments of $36,000 and $84,000. Suitable for students in Grades 5-7.

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