A method for detecting a deterioration state in an elevator suspension member including electrically conductive cords uses a multiplexing unit (MU) to apply first and second alternating voltages to proximal ends of first and second groups of the cords respectively and connect the proximal end of a third group of the cords to a voltage measurement arrangement connected to a reference potential. Distal ends of the groups are connected together. A first neutral point voltage between the third proximal end and the reference potential is determined. The MU is switched to apply the first alternating voltage to the second proximal end, apply the second alternating voltage to the third proximal end and determine a second neutral point voltage between the first proximal end and the reference potential. The deterioration state of the suspension member arrangement is determined based on the first and second neutral point voltages.