Jim and mary have lived in their house for $15$ years. They originally purchased their home for $$250,000$ and added a deck which cost $$20,000$ and made a room in their basement which cost them $$150,000.$ Prior to selling the house they painted the interior for $$12000$ the house sold for $825000$ and real estate agent charged them $5\%$ in real estate commissions.

What is the recognized gain on the sale of the house $?$