Today I picked my car up after it has had rear diff upgraded.
Here are my first impressions:-
1) It certainly makes the car faster accelerating 0 - 60mph and makes the car seem much more positive and responsive.
2) The approximate revs are now as follows in top gear :-
80mph 2400rpm
90mph 2800rpm
100mph 3100rpm
Tested on Motorway using Cruise Control in Drive Mode.
For anyone who is interested here's what I did :-
My car is an Euro 1997 840Ci Automatic Sport.
It was originally fitted with standard 2.81:1 rear diff.
I bought a 3.15:1 Limited slip diff from a 1990 BMW 750il from a UK BMW breaker for £300. This diff had 60k miles on it - but apparently these thing are bullet proof and mileage is not usually a consideration.
In theory this should give me 12% more torque at the rear wheels.
It was fitted by local mechanic in about 4 hours at cost of another £150.
It was filled with standard BMW recommended LSD oil and they had to utilse the original diff casing.
All in all I am delighted.
For those more technically minded - the LSD is apparently preset at 25% locking - which will actually come into play before the standard 8 series traction control so if anything stabilise the rear end even further.