I was the unnamed guest, forgot to reset my cookie.

"Yeah, guest, but 40 hours at 6.19 per hour, 50 weeks of the year (ie a full time job) is 12380.00.UK pounds

Which is taxed. "

No. Only the difference between £9,440 and £12,380 is taxed. The first £9,440 is free of tax (assuming the standard personal tax allowance applies).

I don't disagree with your argument that the minimum wage is inadequate, I'm just making the point that your original premise that the minimum wage is taxed is not quite correct, and that only part of it is taxed, if at all.