From where do you take the 12V to measure it? The cable of the measuring device shouldt comes direct from the battery pole. If not - and if you connect the measuring device with the old or other cable - then you dont measure the voltage of the battery. Then you measure the lower voltage after the resistance of the cable where you lose some voltage in case of the electrical current flow over the resistance.
If this error is the case, then you shouldt check the wire and the wire cross section and the connections of the wire to lower the potential difference.
You find it out, if you measure direct at the batterie. If there also drop down the voltage, then your batterie has a problem.
Jörg