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I ended up paying £10k for my bathroom around 5 years ago. Removal of all fittings (one bath, sink and toilet), complete re-wire with new ceiling & wall lights and addition of vent, external groundworks to move waste pipe and create new connection to sewer at front, fully plastered walls, removal of old and installation of new ceiling, tiled shower enclosure, 2 floor skims (to incorporate underfloor heating), half panelled walls and plumbed in recessed shower, sink, toilet, bath and radiator – all in new locations. New floor installed. I purchased my own fixtures & fittings (don’t use victorian plumbing – I was educated late!). I’d say it was a fair price for the amount of work I had done. Yours sounds a bit more simple tbh and so a bit much.