The official currency is the Iranian Rail (IRR), and this currency is used on banknotes, but the currency used in daily deals by people is Toman. Each Toman is one-tenth of the Rial. For example, 10,000 Rials are equivalent to 1000 Tomans.
Most prices are written or told in Toman, So for example, if something is quoted 80000 it means 80000 Toman or 80 Toman ( In conversation they say Toman also to 1000 Toman ! ) equal to 800000 Rials.
It seems confusing but it is not really, as in case you order a jar of coffee costs 2 Tomans (means 2,000 Tomans or IR 20,000) and that in case you are buying a rug 3 Tomans (means 3,000,000 Tomans or IR 30,000,000).