Hi, the cutoffs for ba Psychology differs from college to college. Some colleges take I'm admissions directly on the basis of merit of the qualifying exam that is 12th boards while some colleges require you to appear for entrance exams and take in admissions based on your performance on the entrance test and sometimes personal interview as well.
In order to pursue B.A in psychology you can be from any of the three streams(science, arts or commerce) and you should have passed 10+2 with a minimum aggregate of 50% -55% marks with Psychology being one of the subjects in +2.
MES Garware takes in admissions based on merit for ba in psychology. You should have passed 10+2 with minimum 50% marks in aggregate and it also offers 5% relaxation to all SC/ST candidates. There's no cutoff require for modern college, you just have to pass 10+2 with English as a medium of language. The admission is based on Merit.
Some other colleges in Pune are:

• Fergusson college
  
• St. Mira's college for girls
  
• Symbiosis college of arts and commerce
  
• Abeda inamdar senior college
  
• Dr. D.Y. Patil arts, science and commerce college
  
• Nowrosjee wadia college
  
• Vishwakarma University

• Good luck