I just sold my 72 500 and there is a 750 K3 I am looking at picking up as my next bike. The 500 was my first bike, I had it for a couple of years and learned a great deal about it from everyone here. I don't have any hands-on experience with a 750 yet. The manufacture stamp is 9/72 and the motor serial and tank stripes confirm it is a K3.
It's a complete running, titled bike - odometer says 10k. It runs and I've ridden it, but it hasn't been on the road for at least 10-15 years. It was stored indoors, but there are some oxidation issues (back rim, engine cases). The carbs were purchased from a salvage yard, I am not sure they are correct to the bike and they may need some attention. I'm going to have my mechanic confirm the motor and transmission are solid and there are no mechanical issues. The side covers, tank paint and seat are in good shape. The tank has been lined by a radiator shop (Red Kote). It needs all your standard stuff - cables, hoses, tires, cleaning, tuning, adjustment - but I want to know all I can about a K3 before I get into it. Especially if there are any specific problem areas to look for.
The rear rim has significant rust - do I look for a replacement or powder coat what I've got? The front rim is fine. The engine cases look pretty rough. Once it's running well I definitely want to clean them up if possible, but I will be limited to what I can do with engine in frame.