If your wage varies every month does your council tax too?

[ConfusedVyThis2]

My DP was earning £700 per month and our council tax from that was £128 ( we also claim UC )

Due to COVID his hours have been up and down and his wage has varied from £600 to £800, our council tax is always £128.

Is this right? Does it stay the same throughout the year or will his lower wagss makes make our bill lower? His wage was £600 this month and £128 out of it makes a big difference this month.

@emilyfrost Council tax reduction is exactly that, it reduces your council tax and the reduction will depend on both the wage and the varying local authority schemes. Likewise, a discount - of say 25% for a single person - means there is 25% less liability and a lower bill.