Hi Cam,
Am really surprised you can't understand my maths. surely yo can see the 1000 number relates to kg in a tonne? its not rocket science!
Simple, 100hp - 250kg start weight (bike 1) = 400hp / tonne
100hp - 200kg start weight (bike 2) = 500hp / tonne
For a 250kg bike to have a power to weight ratio of 500hp / tonne it would need 1000kg/500 = 2:1 kg/hp so 250kg bike needs 125hp to reach a power to weight of 500hp/tonne
So loosing 50kg would in effect (and remember I said all other things being equal and simplified) would be the same as adding 25hp to bike 1
Remember we are starting with bike 1 not bike 2, so relatives are to bike 1. not to bike 2 as in your calculations.
The maths is 10/10 as the answer is correct, Method is irrelevant! unless I am in the classroom at school.
The classroom of the world = Win / loose Answer right / answer wrong

Used to drive my teachers mad, but I always got the right answers!
Tyre grip etc, well this could be long, as in order to accelerate the heavier bike you would need all of that extra grip! and as I am sure you know, the grip of a tyre does not go up in proportion to weight in a linear fashion for an astronomical amount of reasons, this is why wider tyres work and the reason it is easier to spin up the tyre on a heavier bike / car with a similar power to weight to a lighter vehicle. Extra weight would also add more rolling resistance and so many other variables etc so not as simple as you put it either.
To avoid getting into endless discussions that is why
I said "all other things being equal" of course they aren't but again the reality is mega extensive so pointless in this discussion.
Simply put, in "reality" a lighter bike has so many advantages and as any race designer will tell us, there are no significant disadvantages that would get even close to out weighing the advantages of weight reduction.
Regards,
Jules