If your budget is strictly R82000 then I would say go for a 2nd hand Yaris T3.
I'm in the market for a new car for my wife, and my budget is R100 000, R110 000 at most. She refuses to get a 2nd hand car else I would have bought a 2nd hand Yaris.
I took the i10 (the 1.2 GLS Manual) for a test drive on Saturday and I must say I was quite impressed by it, but I don't think (in my opinion) that it is as good as the Yaris. My brother in law has a T1 and the Hyundai felt slower than that car! (note this is here in JHB, maybe at the coast the difference will be smaller).
Obviously the Yaris is a lot more expensive brand new and that's why I'm thinking of getting the i10, but in the 2nd hand market you can get a decent mileage T3 for about R80 0000 and it definitely is very underrated in terms of power. I drove a T3 often in Durban and was amazed at how well it goes for a 1.3! The VVT really helps a lot with the low down torque and keeps it going nicely at freeway speeds and above.
I'm a Toyota fan, but I give credit where it's due, so if you can possibly stretch your budget to the i10, definitely go for it, else get a 2nd hand Yaris. The advantage of getting the i10 is that it is a brand new car with a manufacturers warranty, compared to a 2nd hand car out of warranty most probably, so that is also something to think about. I don't know anyone who has had any major problems with their Yaris but it is something to consider.
Here's something I found on Autotrader: http://search.autotrader.co.za/www/cars_advert?id=201120187655503
About to fall out of the Toyota Service Plan, but the i10 doesn't come with a service plan either.
and the chev aveo 1.6L on special for R109,000?