It is quite difficult to predict the cuttoff now.Department of Health & Family Welfare (DHFW), Kolkata will release NEET cutoff 2019 West Bengal tentatively in 2nd week of August 2019.But if we take into consideration the previous year's cuttoff for 15% ALL INDIA Quota, one shall have to score more than 560 to get into a medical college in Kolkata. But the cuttoff might vary with the category.
General:560 or above
SC:440 or above
ST :420 or above

For, any further information regarding this you can refer to the site given below:

https://medicine.careers360.com/articles/neet-cutoff-west-bengal

Hey.
The cut off rank and score respectively for admission in Medical College, Kolkata
in the previous year for admission under the 15% All India quota was as given below for various categories
General- 2095, 592
SC- 13437, 525
ST- 34106, 470
Hence you would require a score and a rank in this range for a fair chance of admission here.
Best of luck!

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