Hello mate, since you have not specified the examination in which you got this score, it's quite not possible to tell weather you will get a private college in UP. but if your score is of JEE mains then surely you will get it. but I will recommend you to go through JOSSA a go for other govt colleges as per your rank and marks.

below is the college predictor for JEE, go through it to see the chances for you.

JEE College Predictor

https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp