Are you sure your car is a genuine RS1600? I thought RS1600's started production in 1970. Anyway as JVC063 said a change of diff ratio would be easiest, you must have a very short diff to do 5000rpm at 100kph! One of the motorsport options I would guess. You could calculate once knowing the tyre size, correct revs, GPS verified speed etc. Or simply pull the diff out and count teeth.
Are you sure your tacho and speedo are reading correct?
A gearbox change to one with 5 spds could also be an option, depending what gearbox you have now it may be easy or hard. For a genuine car I myself would be be reluctant to modify the tunnel though.
Can you post any pictures of your car, gearbox from underneath, diff etc?
Where are you located?
rgds,
SFE