Look at the pump curve.
All will become apparent by looking at the head generated and the efficiency curves
For centrifugal pumps ( you don't say which one you are looking at)
As you increase in power past the duty point the efficiency is normally quite high or drops a bit, but flow increases and head stays more or less the same hence power goes up.
As you increase flow, the efficiency goes down, which means more power, but the head starts to drop off faster than the drop in efficiency which although you have more flow overall the power levels off or drops a bit.
All this is HIGHLY pump dependant, which is why pump vendors issue pump curves
Remember - More details = better answers
Also: If you get a response it's polite to respond to it.