Hello dear

As you say the last year cutoff you will qualify with this percentile but you can not expect a good rank.

Your approximately rank will be around 30000-35000 category rank and with this rank it will be not possible to get any good NIT, you may take chance in special rounds in some low ranking nits like meghalaya, srinagar , etc. But not fruitful as much .

I would suggest you to study got the July chance you have nearly 2 months with you .

Good luck