Well, it's very difficult to predict what would have happened, had the Britishers not ruled over India. Things could have gone any way. Most probably, like the countries in Europe, India too would not have existed as a single country. All the present Indian states would have perhaps been independent countries of their own. It's the Britishers and the education system that they brought with them, united the country which ultimately benefitted us. The best thing we gained from the British is our democratic values. Had it not been for them, we would have perhaps still lived in a feudal world, dominated by medieval era customs and practices. I have this hunch that, had the Britishers ruled for 50 more years, India would have definitely been a prosperous and modern country. India would not have been divided by casteism and regionalism. Pakistan and Bangladesh would have been part of India, a stronger India.
Patience and perseverance pays