The board of county commissioners of any county may make provision for automobiles, motorcycles or other vehicles necessary for the sheriff and his deputies for the proper discharge of their duties. For the purpose of carrying out the provisions of this section the board of county commissioners may either purchase or lease and finance the operation and maintenance of such vehicles or may authorize the use of private vehicles for such purpose and provide compensation therefor by the payment of mileage as provided by law. No mileage shall be paid to any officer for travel made in any vehicle owned or furnished by the county.