Is there a proportion ratio between the Cable capacity (no of cores) and the pipe diameter? If yes what is it? 

Is there a proportion ratio between the Cable capacity (no of cores) and the pipe diameter? If yes what is it? 

In USA we don't like to occupy more than 1% of the cross-section of the pipe. That would be 1 cable/conduit in 10" pipe. In larger pipes you can run many cables and not exceed 1%.