Where the banker, on whom a crossed cheque F1(including a cheque which under section 81A below or otherwise is not transferable) is drawn, in good faith and without negligence pays it, if crossed generally, to a banker, and if crossed specially, to the banker to whom it is crossed, or his agent for collection being a banker, the banker paying the cheque, and, if the cheque has come into the hands of the payee, the drawer, shall respectively be entitled to the same rights and be placed in the same position as if payment of the cheque had been made to the true owner thereof.