Budapest is a popular destination for exchange students for many-many reasons, affordable living costs are just one of them.
Costs of living in Budapest
http://studyinhungary.hu/living-in-hungary/menu/your-costs-of-living.html
Accommodation
accommodation, if you rent an apartment: HUF 300,000 - 400,000 = around EUR 750 - 950
one single ticket (bus, tram): HUF 400 = ab. EUR 1
one monthly pass for public transport for students: HUF 3,450 = ab. EUR 10
Shopping in Budapest
- one litre of milk: HUF 400 = EUR 1
- one litre of bottled water: from HUF 400 = EUR 1
- one loaf of bread: HUF 600 = EUR 1.1
Nightlife in Budapest
- one small bottle of beer: HUF 300 = EUR 0.8
- one bottle of red table wine: HUF 1500 - 2500 = EUR 4 - 6
- one cinema ticket: HUF 3000 - 5000 = EUR 8 - 13