I have an Audi A3 and the power steering oil has leaked out and when filled up leaks away quickly. What is the likely cause and fix

SOURCE: power steering hose cme off causing atf leaking

If the hose clamps onto the rack & pinion,get a new clamp (replace the hose too,its probably worn)Reinstall it.fill the p/s resovoir,start the car (when the fluid gets low,add more fluid)It will make moaning noises.Just make sure the new hose isnt leaking.Turn the steering wheel back & forth a few times,top off the fluid,turn the wheel again,you should be ok.If the hose bolts on to the pump,you will need to change the hose with a wrench.(fluid replacement is the same way.

SOURCE: Power steering fluid leaks quickly out 1989 Volvo 740 GLE wagon

The most obvious places are the Power steering rack itself - at each end, and the hoses that are attatched to it.
A leak at the pump is easily spotted.

Hoses are cheaper to replace than seals on the rack (which may require a new unit)

SOURCE: leaking power steering fluid

u might need a power streering pump or a new line i have to replace my line there like 30 but the pump is like 110 its not to bad though

SOURCE: audi a3 electric power steering not working in one direction

SOURCE: Transmission fluid,power steering fluid leak cause burnt smell?

The smell you are probably smelling is the fluids that are leaking hitting something hot like the exaust. Unless the leaks are so severe that it takes constant refilling then you should be ok. But be aware that when yu have leaking parts that you must regularly check those fluid levels. Them leaking wont cause major damage, but you not keeping the fluid levels up will. I had a tranny leask in my van for a 1 1/2 and thought it was a expensive fix, but I ended up fixing my leak for about 6 bucks. My point is, check your fluids once a day if not more depending on the severity of the leak.