In $2013,$ Ellen purchased a house for $$150,000$ to use as her personal residence. She paid $$30,000$ and borrowed $$120,000$ from the local savings and loan company $.$ In $2015,$ she paid

$$20,000$ to add a room to the house. In $2017,$ she paid $$2,400$ to have the house painted and $$1,200$ for built$-$in bookshelves. As of January $1$ of the current year, she has reduced the

$$120,000$ mortgage to $$108,300.$ What is her basis for the house?

Her basis for the house $=$