Hello,

87% is a very good percentage in 12th boards.Eligibility criteria for all the colleges goes maximum upto 75% and minimum is 60% aggregate in 12th board which you already qualify.Now for taking admission in government colleges you need to give the entrance test for which they demand.JEE MAINS has most of the colleges.But for good government college you need to give entrance test.There are also private colleges taking admission on basis of 12th marks.you may also check the link below for more information.I hope it helped

https://engineering.careers360.com/articles/btech-admissions-on-basis-of-class-12th