it is up to companies / goverment departments etc. to pay what, if anything, they think they need to to attract the right people to work in London. For example, for teachers it is about 3 grand.
In my job they you get a higher pay scale for being in London plus London weighting.
some work for a borough that advertises the fact it is an inner london borough, whose schools used to be 'ILEA', and who receive inner london allowance from central gov't. yet pay their staff the outer london allowance.
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In my job they you get a higher pay scale for being in London plus London weighting.
not mentioning any (greenwich) names.