I have been told that a boiler loses around 10/15% of the heat it produces whereas electricity loses nothing, is that correct?
No it is absolutely wrong, and a lie spread to trick the unwary!
Where does your electricvity come from? A generator turned by a steam engine run from a big boiler. the big boiler loses heat and so does its big chimney. The distribution cables lose heat. the transformers lose heat. There is also a loss in energy between that put into the generator and that extracted as electricity.
On London streets on a frosty morning you can see the grey tarmac where the underground cables are doing their job of keping the rats warm.
Once it come isto your house, the heat that is generated inside heating appliances does not go to waste, but the heat generated by the lamps, TV etc is all wasted unless the house is cold.