Paying about a 100 pounds a month is an enormous increase in one's taxes, if one makes, say, 15k a year.
Let's say one pays 25% tax (which I'm sure might be a bit more with the NI stuff). That amounts to 3750 per year. Add 1200 to that, and your tax percentage turns into 32.33%.
Of course if you earn 40k a year, the council tax won't hit you as hard.
I do think that it is unfair that working students have to pay council tax, that makes their tax percentage enormous (consider the % of council tax from, say, 7-10k of earnings!)
I think it would be more fair to tie the council tax to one's income. That way everybody would pay the same percentage.