Hi Deepak, hope you are doing well, with your percentile of 87.75 you can get good private colleges as well as you can also try for government colleges as well. To know more about the admissions through jee mains, go through the rank predictor in jee mains, the link is provided below,

https://engineering.careers360.com/jee-main-college-predictor

I think it helps you!!!

Keep Smiling:)

Wish you good luck!:)