Draws it down over what time period?
There are parasite loads on almost every system. Smoke detector, LP detector, LED on television or stereo, even if fridge is on propane there is 12v draw on the control circuit.
My total parasite draw with fridge off is less that 1 amp/hour, with fridge on, it jumps to about 2.5 to 3 amps per hour.
2014 RAM 2500 Laramie 4x4 Quad Cab w/Cummins Turbo Diesel, 2009 Rockwood 2607, and 3 'yaks!
300W of Suntech Solar, a Rogue MPT-3024 Controller, and a Xantrex PW2000 Inverter