Hello there!
Your question asks what would be the long term capital gain from the sale of the property (the land).
Answer: $92,400
To solve this, we would need to use the given information from the question.
Key information:
Sold for $150,000
Property was worth $20,000
At the time of the gift, property was worth $100,000
Aunt paid $47,000 in gift tax
With the information above, we can find the answer to the problem.
What we need to do is get the formal property value (20,000) and add it with the gift tax (47,000) times the profit made off of the property (80,000) and divide it by the property value when gifted (100,000).
Then, we would subtract the selling price for the land (150,000) by the land tax (57,600).
When you're done solving, you should get 92,400.
This means that the long term capital gain for the property would be $92,400.
I hope this helps!
Best regards, MasterInvestor