If you commute by long distance rail for at least an hour, an hour and a half maybe, to some small town way outside of London maybe you'll find something at that cost – but surely not in London proper.
My rents over the years in London where, per month, in order of when I lived there:
- apartment hotel studio in Limehouse: ~£2000-2500 - room in shared flat in Queensway: £1000 - 1-bed in Canary Wharf: ~£1650 (moved after a year because they wanted to back my rent by about 20%) - studio in Angel: ~£1200 - basement studio in Highbury&Islington: ~£1350
The studio in Angel was unbelievably cheap for a brand new building in a nice neighborhood. I was the first tenant. It had one of those beds you flip down from the wall kind of thing. Sounds off putting but it was actually a really smart feature, made the place feel like a 1-bed.