Hello Dear

Your rank will be around 573996 - 400110 according to our rank vs marks vs percentile you can refer to our page for which link is provided below:-Your chances of getting seats private college is fair enough. But as the cut off depends upon the number of seats available, the difficulty level of paper and number of candidates writing the examination. And, hence varies every year depending on these factors.

https://engineering.careers360.com/articles/jee-main-marks-vs-percentile

You can take help from our predictor link to get information about the college for accurate prediction of college:

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer