Hello aspirant.

For scoring 81 marks in WBJEE you can expect your rank in between 9900-10300. For that rank, as you are a local candidate under the open category, you have a good chance to get a seat in the Heritage Institute of Technology, Aliah University, Techno India, Haldia Institute of Technology, and many more colleges.

For more details check the below link.

https://www.careers360.com/wbjee-college-predictor?exam_id=2354&counselling_id=4205&ici=cp-result-change-inputs&icn=WBJEE-2021-College-Predictor

Hope this answer helps you.

All the best!!!!