See, if your parental income is greater than 6 LPA and you don't belong to the Economically Weaker Section or the EWS category, then unfortunately you'll be getting no fees rebate from the college as per government norms.

But, an easy solution is getting a student loan. Student loans are very common phenomena in IITs and NITs and banks are more than willing to give loans to such students from these colleges. So, according to the things you describes, the best way is to opt for a student loan.

Hope I have answered your question. All the best!