Hello Preet. In order to get admission in any of the engineering colleges in Mumbai side you can apply by giving the state level entrance exam MHT-CET or the National level exam JEE Mains Depending upon your score in these exams you will get a seat in any of the colleges. Moreover the 12th marks required are 45 % and you have  far more than that. Some of the good colleges in Mumbai include
Institute Of Chemical Technology
Vivekanand Education Society's Institute Of Technology
Sardar Patel College Of Engineering.
You can go through this link for further details


https://www.sarvgyan.com/articles/btech-admission-in-mumbai