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ReconciliationMEDIUM4.5% of exam

The three approaches indicate $412,000 by sales comparison, $438,000 by cost and $401,000 by income. The appraiser weights them 60%, 15% and 25% respectively. What value is indicated?

Correct Answer

B) $413,150

Why this is correct: each indication is multiplied by its weight and the products summed. Calculation: ($412,000 x 0.60) + ($438,000 x 0.15) + ($401,000 x 0.25) = $247,200 + $65,700 + $100,250 = $413,150. Why the other choices are wrong: $417,000 is the unweighted mean, which is what weighting was chosen to avoid; $409,300 applies the weights in reverse order, giving the income approach the 60%; $412,000 takes the sales comparison indication alone and discards the other two.

Answer Options
A
$409,300
B
$413,150
C
$412,000
D
$417,000

Why This Is the Correct Answer

Why this is correct: each indication is multiplied by its weight and the products summed. Calculation: ($412,000 x 0.60) + ($438,000 x 0.15) + ($401,000 x 0.25) = $247,200 + $65,700 + $100,250 = $413,150. Why the other choices are wrong: $417,000 is the unweighted mean, which is what weighting was chosen to avoid; $409,300 applies the weights in reverse order, giving the income approach the 60%; $412,000 takes the sales comparison indication alone and discards the other two.

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