In $2012,$ Elizabeth purchased a house for $$100,000$ to use as her personal residence. She paid $$20,000$ and borrowed $$80,000$ from the local savings and loan company. In $2014,$ she paid $$12,000$ to add a room to the house. In $2016,$ she paid $$1,500$ to have the house painted and $$1,300$ for built$-$in bookshelves. As of January $1$ of the current year, she has reduced the $$80,000$ mortgage to $$72,000.$ What is her basis for the house?

Her basis for the house is $$