Dear Arpita,you haven't mentioned your Category. Neverthless,  there are 6 Private Medical Colleges im West Bengal.

You can check their cutnoffs for each Category at:
https://medicine.careers360.com/articles/neet-cutoff-west-bengal/amp

Alternatively, you can also check their total fees at:
https://medicine.careers360.com/colleges/list-of-medicine-colleges-in-India?f%5B0%5D=sm_college_degree%3AM.B.B.S.&f%5B1%5D=im_field_ownership%3A967&f%5B2%5D=sm_college_state%3AWest%20Bengal&f%5B3%5D=sm_course_offered%3AGeneral%20Medicine%20and%20Surgery