The concept being tested is how a property owner gets relief from a strict zoning rule. That relief is called a variance. A variance provides permission to depart from the exact dimensional or use requirements of the zoning ordinance because applying the rule would create undue hardship or practical difficulties due to unique features of the property, such as its size, shape, topography, or existing development. It’s not a general permit to build or a change in uses; it’s a narrowly tailored exception granted after showing that the deviation won’t negatively impact the public welfare or the surrounding neighborhood. A zoning permit simply authorizes construction or alteration that complies with current zoning and building codes. A conditional use and a special exception allow certain uses that aren’t normally permitted in a zone but are allowed under specific conditions and with review.

PITI is all the monthly housing costs: the loan’s principal and interest plus monthly property taxes and homeowners insurance. First, the purchase price is 105,000 minus 5,000 = 100,000. With an 80% loan-to-value, the loan amount is 80,000. The loan is 30 years at 5.5%, so the monthly interest rate i is 0.055/12 = 0.0045833, and the number of payments n is 360. The monthly principal and interest is found with the standard amortization formula. Using these numbers, the P&I comes out to about 454. Monthly taxes are 4,000 per year, which is 4,000 / 12 ≈ 333. Monthly insurance is 800 per year, which is 800 / 12 ≈ 67. Add them together: 454 + 333 + 67 ≈ 854. So the monthly PITI is about 854.

In Washington real estate practice, the designated broker has the duty to supervise licensees and ensure they perform duties properly. The property manager, as the licensee or employee handling the property, also owes a duty of care to protect the owner’s property and prevent foreseeable harm. If the property manager neglects to prevent damage by vagrants, both parties can be held responsible: the property manager for the negligent act itself, and the designated broker for failing to provide adequate supervision and oversight of that licensee. The seller isn’t at fault here because the issue concerns the management and supervision of the property after the sale, not the seller’s actions.

Cap rate analysis focuses on turning income into value. The key idea is value equals NOI divided by the capitalization rate, or conversely, the cap rate equals NOI divided by value. Here the property’s annual net operating income is 12,000 (1,000 monthly times 12). If the investor is willing to offer 120,000 instead of 150,000, that implies an implied cap rate of 12,000 / 120,000 = 10%, higher than the 12,000 / 150,000 = 8% that the listed price would produce. So the price drop reflects applying a higher cap rate to achieve the desired return. The other options don’t fit: gross operating income multiplier uses gross income rather than NOI, cash-on-cash return looks at cash flow relative to cash invested (financing-influenced), and debt service coverage ratio relates NOI to debt service rather than setting a value.