[ajju]

Quite to the contrary, you will find that Gujarat, perhaps the richest state in the country, is least represented in the IITs and the IIMs (including IIM Ahmedabad which is ironically in Gujarat).

Yes K to 12 level education needs money but University admissions do not depend at all on what school you attended, only on your score in the Std 12 exam held by the state or an entrance exam. Further there are 25 - 50% reservations for poor people from lower castes in most Universities. So yes bribing is a big problem and so is casteism but one place where the problem is close to non existent is higher education.