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Real Estate MathHARDFREE

A property has annual property taxes of $3,600. The seller paid taxes through December 31, but the sale closes on October 1. How much does the seller owe the buyer as a proration?

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Audio Lesson

Duration: 2:59

Question & Answer

Review the question and all answer choices

A

$900

Correct Answer
B

$2,700

C

$0

D

$300

Why is this correct?

The seller has prepaid for Oct-Dec (3 months). Monthly tax: $3,600 ÷ 12 = $300. The seller is owed $300 × 3 = $900 as a credit from the buyer.

Podcast Transcript

Full conversation between instructor and student

Instructor

Hey there, Alex! How are you doing today?

Student

I'm good, thanks! I've been studying for the real estate license exam, and I came across this hard math question about property taxes. It's a bit confusing, to be honest.

Instructor

I can imagine. Let's dive into it. The question states that a property has annual property taxes of $3,600, but the seller paid taxes through December 31st. The sale, however, closes on October 1st. The question asks how much the seller owes the buyer as a proration.

Student

Right, and I think I need to figure out the monthly tax amount and then determine how much the seller has prepaid for the months they won't own the property. But which months exactly?

Instructor

Exactly. The key here is to identify the months the seller has prepaid but won't own the property, which would be October, November, and December. So, we need to calculate the monthly tax amount first.

Student

Okay, so how do we do that?

Instructor

Simple. Divide the annual taxes by 12. $3,600 divided by 12 is $300 per month.

Student

Got it. So, the seller paid $300 for each of the last three months. How do we calculate the total proration?

Instructor

Multiply the monthly amount by the number of months the seller has prepaid but won't own the property. So, $300 times 3 months equals $900. That's the amount the seller owes the buyer.

Student

Oh, I see! So, the correct answer is A. $900, because that's the credit the seller is due for the months they've paid for but won't be using.

Instructor

That's right! Now, let's talk about why the other options are wrong. Option B calculates the buyer's share, not the seller's credit. Option C suggests no proration is needed, which is incorrect because the seller has indeed prepaid for months they won't own. And option D only accounts for one month, which is not accurate.

Student

That makes sense. It's all about understanding who prepaid and who should receive the credit.

Instructor

Precisely. To help remember this, let's use a memory technique. Think of proration like splitting a pizza. The seller has paid for the whole pizza (annual taxes), but only eats until October 1st. The buyer eats from October 1st through December 31st. The seller should get credit for the slices they paid for but didn't eat (October-December).

Student

That's a great way to visualize it. Thanks for the tip!

Instructor

You're welcome! And remember, for proration questions, always determine who prepaid and who should receive credit. Calculate the monthly rate first, then multiply by the number of months the prepaid period extends beyond closing. Keep practicing these types of questions, and you'll get the hang of it in no time.

Student

Thanks, I'll definitely keep that in mind. I appreciate the help!

Instructor

No problem at all, Alex. Good luck with your studies, and remember, preparation is key!

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