Real Estate MathIntermediateColorado Exam

A Colorado property has an NOI of $55,000 and sold at a 7.5% cap rate. What was the purchase price?

A$412,500
B$550,000
C$733,333Correct
D$825,000

Why $733,333 Is Correct

Answer C: $733,333

Purchase price = NOI ÷ Cap rate = $55,000 ÷ 0.075 = $733,333.

Exam Tip: Real Estate Math

Math questions are formula-based. Memorize the key formulas: commission splits, proration, cap rate (NOI ÷ Value), GRM (Price ÷ Gross Rent), and LTV (Loan ÷ Value). Practice converting between annual and monthly figures.

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