I would say offer to have it inspected on your money. Most people would be good with that. Probably run around 50-75 bucks. I don't want to discourage you but there are many things to consider on any used car. They are wonderful cars, anbody here will attest to that. But a compression test and a good look underneath may uncover major problems down the road. Or it may just show you little things you'll have to address a few months later. I've seen cars that looked great, but once they were up on a lift the tech pointed out frame damage etc. You just never know.

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1994 C 280 117.5k, White (Good as new)
1997 Toyota Camry 149k Miles (Not so pretty anymore)

1990 190e 2.6 95k (Sold-Should not have)
1981 240d Stick ??? Miles...sold