It is possible to get into a private college but however, the fees may not be little.

Your rank matters more than your total score in the NEET exam, it is advised to check Careers360's NEET college predictor to check your admission chances with your All India NEET rank. 

As for the fees, private colleges are more expensive when compared to government colleges. You will need to attend the counseling for which you should have attained a minimum of 50th percentile (45th percentile for General-PwD candidates and 40th percentile for SC/ST/OBC candidates).

Further, you can approach the college of your choice and check for management seat but the fees would normally be three to four times the normal fees.

see the minimum fee for private medical colleges is 4 to 5 lakhs per year.so here i am mentioning some private colleges with less fees.

Terna medical college, navi mumbai.

ccm medical college, durg

Raipur institute medical sciences,raipur.

sri aurobindo medical college ,indore.

Ms Ramaiah medical college,banglore.