My latest vehicle has on 2 occasions refused to start due to a discharged battery, on one occasion down to 7.5v. Jump starting got us going. As the car is new to me took it back to the supplier but they have told me there are no faults. I'm not convinced. I have put a new battery on. In 2 days the voltage has dropped 0.3v, is this drop normal on a modern car with radios, alarms, immobilisers etc?
I'm sure it needs a decent auto electrician, but being a recent purchase I'm reluctant to pay, will probably have to though

Thanks.