In the early 1980's, the Indian government formed a partnership with Suzuki to import and shortly later to start assembling cars. By 2003, what is now known as Maruti Suzuki India Ltd became majority owned by Suzuki. To say the company was a success would be a gross understatement. In the later 90's Suzuki had as much as 70% of total sales in India.
Market share has fallen from that high with competition but has remained above 40% apart from a couple of years just ducking below that figure in 2011 and 2012. There is a huge range of cars, most of them strong selling as well.
The brand remains the darling of the car buying public, making motoring affordable for millions of locals. No one gets near them for volume and it would be pointless to try. There isn't room for two Suzukis and profit as well.