A few points
1. There is a much bigger correlation with India than you suppose.
You can
a. build universities and schools to train people
b. create favorable tax and corporate structures to foster industry
c. capture markets to make a and b and c into a positive feedback loop that makes rapid advancement possible.
Guess which of these is the hardest. It is c - having a captive market. The british captured the Indian market through money and cunning and proceded to systematically weaken then denude native industry then force export their own goods under the pretext of governance. The ratio of manufactures turned from something like 4:1 in India's favor in 1800 to 1:4 by 1900. This entire period was the one of greatest growth for the industrial revolution and it was in fact financed by India. As a french guy wrote, even if the french lost the war to the brits, it was beneficial for europe as this arrangement reduced the cost of development for all of europe. There was no capitalism or industrialism in the west before the Brits came to India.
2. There is no simply comparison between famines under the British, where supplies were not sent out even though they had control of them, and instead levies on starving peasants were increased 10% year over year and famines before and after. http://en.wikipedia.org/wiki/Bengal_famine_of_1770
3. It has become standard practice in the west to use the caste system to whitewash British exploitation. Fact is British rule made the situation for the poorest in India much worse than it had ever historically been economically.
Poor people could'nt even buy salt which was monopolized by the British for almost 200 years. This salt tax which Gandhi nonviolently protested against was not repealed until the British were kicked out of the country.
4.There was a popular election in 1939 which Jinnah lost even in muslim majority provinces in India. When Nehru tried to pressure the British to leave, Jinnah took the opportunity to get the Queen's support to launch a party which never got even the Muslim popular vote for a new country in the name of Islam. Hindu-muslim is kind of a false label for what actually happened.
Nothing against the British really - they took advantage of history when it was in their favor. It's just the false propaganda that they were somehow hugely beneficial for India that needs to be called out, something which has become truth by sheer repetition.