Final answer:
Mike and Michelle's recognized gain from the sale of their residence is calculated by subtracting the adjusted basis and selling expenses from the selling price, which equates to a recognized gain of $344,000.
Step-by-step explanation:
When calculating the recognized gain from the sale of a property, one must account for the original purchase price (basis), any improvements made to the property that add to its value, the selling price, and any associated selling costs. Mike and Michelle had a residence with a basis of $200,000, spent $6,000 on painting (which increases the basis), and then sold the residence for $600,000 with selling expenses amounting to $50,000. The couple's recognized gain would therefore be calculated as follows:
Selling Price: $600,000
Adjusted Basis: Original Basis + Improvements = $200,000 + $6,000 = $206,000
Selling Expenses: $50,000
Recognized Gain: Selling Price - Adjusted Basis - Selling Expenses = $600,000 - $206,000 - $50,000 = $344,000
This calculation results in a recognized gain of $344,000, not $125,000.