Thanks for answering my questions with respect to europèen rule, I think the reasoning you gave coupled the first french empire just not focusing on giving attention to overseas colonies and coming late to the game basically.
That's exactly the reason, and then the financial drain suffered much more by the French, than by the Brits, throughout the wars within Europe too acted as a setback.
People putting it up, esp the Brits in their own versions try to quote the modern strategies employed by the Britishers, but it is not completely true. The French were equally, if not more, innovative as were the Brits when it came to modern warfare, as is evident in the first ever rocket use when the French fought alongside Tipu Sultan against the Brits. However, the supplies of the Brits came from much productive and richer financial areas of the Northern India and ascertained their supremacy in the South, further limiting the French influence in India... down to Madras and Pondicherry.
Also, another part, rarely touched by people in general, or even by the textbooks, is the approach of the Brits toward the Indian populace. While the Brits were harsher against the Muslim rulers, who held the power of the sword, they were relatively much softer toward the Hindu businessmen, who traditionally held the finances.
The Brits wanted business to make more money to fund their armies (the indigenous population comprised the major part of their army in India and rarely had any problems serving the white rulers), and to do that they needed the help of those who had money (Hindus) while limiting the influence of those who dictated the law (Muslims). Whereas, the French do not appear to have grasped this complicated relationship between the Hindu financiers and Muslim rulers, and appear to have helped the only ones that held the sword, thus limiting their sources of finances even further.
And because it is neither patriotism, nor religion, it is the money that makes the world go round, the Brits kept winning throughout India until the worldwide famines of 1850's and 60's devoided the subcontinent of whatever money it was left with, and number and magnitude of dissents against the British rule took up momentum.