A property is assessed at $250,000. The tax rate is $2.50 per $100. What is the annual tax?
Audio Lesson
Duration: 2:50
Question & Answer
Review the question and all answer choices
$5,000
Option A ($5,000) is incorrect because it results from mistakenly multiplying the assessed value by the tax rate without first dividing by 100 ($250,000 × $2.50 = $625,000, then incorrectly dividing by 125). This error demonstrates a misunderstanding of how tax rates are applied per $100 of value.
$6,250
$7,500
Option C ($7,500) is incorrect because it results from an incorrect calculation method, such as adding the tax rate to the assessed value ($250,000 + $2.50 = $250,002.50) or misapplying the percentage calculation. This error shows a fundamental misunderstanding of how tax rates work.
$2,500
Option D ($2,500) is incorrect because it represents only the first step of the calculation (dividing the assessed value by $100) without multiplying by the tax rate. This error demonstrates incomplete understanding of the two-step calculation process required for property tax determination.
Why is this correct?
Option B ($6,250) is correct because it accurately follows the two-step calculation process: first dividing the assessed value by $100 to determine the number of increments (2,500), then multiplying by the tax rate per increment ($2.50 × 2,500 = $6,250). This represents the proper application of the tax rate to the assessed value.
Deep Analysis
AI-powered in-depth explanation of this concept
Property tax calculations are fundamental in real estate practice because they directly impact property values, client affordability, and investment returns. Agents must understand how taxes work to advise clients accurately, whether they're buying, selling, or investing. This question tests your ability to calculate annual property taxes based on assessed value and tax rate. The core concept involves determining how much tax is owed per $100 of assessed value. First, we divide the assessed value by $100 to find how many $100 increments exist in the property value ($250,000 ÷ $100 = 2,500). Then, we multiply this by the tax rate per $100 ($2.50 × 2,500 = $6,250). What makes this question challenging is the two-step process and understanding that the tax rate is per $100, not a percentage. Many students mistakenly multiply the assessed value directly by the tax rate without first dividing by 100, leading to errors. This connects to broader knowledge of property valuation, tax assessments, and how local governments fund services through property taxes.
Knowledge Background
Essential context and foundational knowledge
Property taxes are a primary revenue source for local governments in the United States, funding schools, infrastructure, and public services. The tax calculation involves three key components: assessed value (the property value determined by the local tax assessor), assessment ratio (the percentage of market value used for tax purposes), and tax rate (the amount per unit of value). In this question, we're given the assessed value directly and a tax rate expressed as dollars per $100 of value. Most states use this per $100 method rather than percentage rates. Understanding these calculations is essential for real estate professionals to help clients estimate property taxes, compare affordability between properties, and calculate potential returns on investment properties.
Podcast Transcript
Full conversation between instructor and student
Instructor
Hey there, welcome back to our real estate license exam prep podcast. Today, we're diving into a medium difficulty math question that's crucial for understanding property taxes. What's the topic you have in mind?
Student
Oh, it's about calculating annual property taxes based on the assessed value and tax rate. I've been working on that a lot, but it can get a bit tricky.
Instructor
Exactly! It's important because property taxes are a significant factor in real estate transactions. Let's take a look at the question. A property is assessed at $250,000, and the tax rate is $2.50 per $100. The question asks for the annual tax. Do you see the challenge here?
Student
Yeah, I see it. It's a bit confusing with the tax rate being per $100. Shouldn't it be a percentage?
Instructor
Great observation! The tax rate is indeed per $100, which means we need to apply a two-step process. First, we divide the assessed value by 100 to find out how many $100 increments there are in $250,000. So, $250,000 divided by 100 is...
Student
2,500 increments!
Instructor
Correct! Now, the next step is to multiply those increments by the tax rate of $2.50. So, 2,500 increments times $2.50 equals...
Student
$6,250!
Instructor
Exactly! That's why the correct answer is B, $6,250. It's a good reminder that when you see a tax rate per $100, you always need to divide the assessed value by 100 first before applying the rate.
Student
Oh, I see! So, people might get confused and just multiply the assessed value by the tax rate without doing the division first, which is why options like A and C are wrong.
Instructor
Absolutely, and option D is also incorrect because it only completes the first step of the calculation. It's a common mistake to think you can skip steps, but every calculation in real estate math has a specific process.
Student
Got it. So, what's the memory technique you mentioned?
Instructor
We use the acronym DIME. It stands for Divide by 100, Increment count, Multiply by rate, and Equals tax. It's a quick reminder of the two-step process. Remember DIME, and you'll be good to go!
Student
That's a fantastic tip! I'll definitely keep that in mind. Thanks for explaining this, it helps a lot.
Instructor
You're welcome! And remember, for tax rate questions, always check if the rate is expressed per $100 or as a percentage. And don't forget to follow the DIME process. Keep practicing, and you'll get the hang of it in no time. Keep up the great work!
DIME: Divide by 100, Increment count, Multiply by rate, Equals tax
Remember the four steps in order: Divide the property value by 100, count the increments, Multiply by the tax rate, and you get the final tax amount (Equals tax).
For tax rate questions, always check if the rate is expressed per $100 or as a percentage. If per $100, first divide the property value by 100 before multiplying by the rate. This two-step process is crucial for accurate calculation.
Real World Application
How this concept applies in actual real estate practice
As a Texas real estate agent, you're working with first-time homebuyers comparing two properties. Property A is assessed at $250,000 with a tax rate of $2.50 per $100, while Property B is assessed at $300,000 with a tax rate of $2.25 per $100. Your clients need to understand the annual tax difference to determine which property fits their budget. By calculating Property A's tax as $6,250 and Property B's as $6,750 ($300,000 ÷ $100 = 3,000 × $2.25 = $6,750), you can show them a $500 annual difference that impacts their monthly payment by approximately $42.
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