^ It depends on what matters to you. It's kinda always a compromise. You can't get everything, like... you can't get Pulsar with the mileage of TVS sport at a price of XL super

Give or take something and you can get a best possible camera in your budget.
With TZ25 you get plenty of zoom but equipped with typical small sensor.
With XF1 you get little bigger sensor (which means you get better quality photographs at higher ISO) and you have fast lens, but here compromise is zoom.
Ask your cousin that you're thinking of gifting him a camera and what kinda camera he would like to have. If he says something similar to TZ25/XF1, buy the one he wants. If he says DSLR, give him the gift money