It depends on how active your core(s) are. As the cpu is the single component in the PC that uses the most power compared to anything else, If your core(s) are on 100% 24/7 then you might use a fair bit of electricity. However dont think that just because a pc is idle, it wont use hardly any power at all, because that is rubbish. Hard disks, cd roms, ram, fans, motherboard all that other stuff uses a lot of power when combined.
In answer to someones post about PSU wattage, The pus is never 100% efficient, infact apart from the seasonic ones, most are around 60 - 75% efficient. So that means that even on full load, you still are only using your PSU's rated power output, with a percentage loss due to efficiency.
With that in mind, having a more efficient PSU could slightly lower the cost to run the same PC.