Sale price per acre is one of the vacant-land units of comparison. A comparable vacant tract of 8.0 acres sold for a cash-equivalent price of $960,000 and is otherwise similar to the subject in HBU and market conditions. What indicated unit price per acre should be applied before any remaining elements-of-comparison adjustments?
Correct Answer
C) 120,000 dollars per acre
Divide $960,000 by the comparable’s 8.0 acres to obtain $120,000 per acre. Multiplying that unit rate by 8.0 acres recovers the sale price. This is a unitization step, not a conclusion that all parcels command an identical per-acre rate.
Why This Is the Correct Answer
Option C is correct because the unit price per acre equals price divided by acres: $960,000 ÷ 8.0 acres = $120,000 per acre. Multiplying back, $120,000 × 8.0 = $960,000 confirms the result.
Why the Other Options Are Wrong
Option A: 96,000 dollars per acre
Option A, 96,000 dollars per acre, divides by 10 instead of the actual 8.0 acres: $960,000 ÷ 10. The correct rate is $960,000 ÷ 8.0 = $120,000 per acre.
Option B: 960,000 dollars per acre
Option B, 960,000 dollars per acre, treats the total sale price as if it were the per-acre rate. Dividing by 8.0 acres gives $120,000 per acre.
Option D: 7,680,000 dollars per acre
Option D, 7,680,000 dollars per acre, multiplies the price by the acreage: $960,000 × 8.0. A unit price requires division, giving $120,000 per acre.
Per means divide
Any price per unit is the total price divided by the number of units. Per acre means divide by acres.
How to use: Use this rule whenever a question asks for a price per unit.
Exam Tip
Check by multiplying your unit rate by the acreage; it should return the sale price.
Common Mistakes to Avoid
- -Multiplying instead of dividing
- -Using the wrong acreage
- -Assuming all tracts sell at the same per-acre rate
Concept Deep Dive
Analysis
This question tests unitizing a comparable land sale into a price per acre. Divide the sale price by the number of acres. The resulting rate is then adjusted for remaining differences before application to the subject.
Background Knowledge
Unitizing sale prices allows comparison of parcels of different sizes. Price per acre is common for larger tracts. Size differences may still require adjustment because unit prices often vary with parcel size.
Real-World Application
An appraiser valuing a rural homesite tract collects several acreage sales of different sizes. She converts each to price per acre before adjusting for location, access and size.
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Sales of comparable vacant sites indicate a consistent price of $35 per square foot. The subject vacant site contains 12,000 square feet. What is the indicated land value?
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