The simple answer to the original thread question (which nobody seems to have mentioned yet) is that you can't have a turbo and a supercharger applied at the same time in GT4.
latestgood, my guess is that your car has a Turbo kit installed? If it does, applying the Supercharger option will automatically remove your Turbo kit. This is why your horsepower drops - the turbo is taken off, and although the supercharger takes it's place it doesn't create as much power.
Hope this makes sense.
Also, you can't have NA Tune and Turbo or Supercharger on the car at the same time. You have to choose between NA Tune, Turbo kit, or Supercharger. You can only have one of them at a time. Not so in real life, but in the game that's how it works. 👍
DE