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i need to purchase a new plastic float?

please see above.
the toilet incoming pipe is 25mm but reduces in size when entering the actual cistern (smaller hole)
robert cozens, April 2009
Not a problem as it's like mine I installed both hot and cold feeds in 22mm to feed the bath then tee'd off /in your case reduced to 15mm for shower, basin and toilet cistern.
So go to your local small plumbing shop get a new float complete with valve he/she will be glad of your custom and puts bread on their table.

Bob, April 2009