A taxpayer uses a vehicle for his sole proprietorship. He purchased the vehicle for $$35,000$ in Year One and uses it $100\%$ for business. By the end of Year Three he has taken $$27,440$ in depreciation and had to do a full engine swap for a cost of $$7,500.$ He wants to sell the vehicle. What is the basis of this vehicle? $($Assume no depreciation is taken on any later adjustments to basis.$)$