Hello,

At 87 percentile you got around 110100 rank in jee mains.  You can get many home state private colleges or other state private college. You can check more about the marks vs percentile by go through the link.

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

you can also check about your college prediction by use of college predictor tool at that percentile, just click the link and fill the criteria to use it.

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

Hi

With  87 percentile

• Your rank will be around 132990 - 14950   as per our rank predictor at

  JEE Main Rank Predictor 2021 - Predict your JEE Main ...

  JEE Main Rank Predictor - Know your expected IIT JEE Main 2021 Rank by ...

To help you further,

JEE mains 2021 expected qualifying  CUT OFF percentile to be eligible for JEE advanced is given below for different categories on the basis of past year trends :

.                  .  JEE      MAIN CUT   OFF    PERCENTILE

Category jeemain2020 jeemain2021 expected off

General :-     90.3765335                 90-95

GEN-EWS :-  70.2435518                  70 -75

OBC-NCL :-  72.8887969                   70 -75

SC     :-           50.1760245                  50 -55

ST :-                39.0696101                  40 - 45

PwD :-            0.0618524                      1- 2

You can check the same at our page the link is provided below

https://engineering.careers360.com/articles/jee-main-cutoff

To have a personalised report on your chances of getting a college you can go through our college predictor, it will give you complete list of colleges which you can get on the basis of the category you belong to,  your home state, your gender etc, the link for  jee main college predictor is provided below

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

To improve your score in remaining sessions of JEE main you should focus on your preparation go through previous year question papers ,mock test papers and to help you in your preparation we have jee main knockout out for you, for which  is provided below

https://learn.careers360.com/knockout-jee-main-april/

Thankyou