Hello,

If your percentile is 41 then it is expected that your overall rank in JEE main will be around 603570 - 678500

If you are general category candidate then it will be very much difficult for you to get admission even in private colleges through the counselling process. Although, you can go for direct admission in private colleges.

To know your best admission possibilities as per your rank, use the college predictor tool from the link below

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

good luck!