Hey !

Your boards percentage is great but not so , is your NATA score. For admission in good government college , you need a petty decent score of 150+ . More over anything above 130 will get you into a very good college (Private) and a score above 150 is required if you want admission in a government college. Anything between 100 and 130 will get you into a decent college and if your score is below 100 then it might be a little difficult to get into a college of your choice. 

Now as you have your board score above 90 % so there is a chance to get in a good college, so you can try.