Having looked over the Mughal empire recently it seems to me that they might have been some of the best rulers the subcontinent had seen for a long time. The rivalries of the many princes being a prime reason for the British East India Company and later empire's successful integration of India.
If we imagine a stronger Mughal empire, consolidating the gains of the Mughal golden age rather than squandering it and losing the empire. With a united and non-discriminating empire cancelling tax funds into a strong military and infrastructural system, could India manage to hold of the British for long enough, or keep up sufficient resistance, to make the British view colonization as an unprofitable prospect?