According to some of the reviews I gathered online, The cutoff score for a BA in a Psychology course at Fergusson College is usually above 92% in class 12th board examination for grant in aid division and it is above an aggregate score of 85% for non-grant division.

For students who are not domiciled in Maharashtra, the cutoff score for getting admission to BA in Psychology is above 95%. 

The students are required to opt for special subjects in S.Y.B.A. for which the admissions are granted based on the F.Y.B.A. scores of the candidates in the subject of Psychology. Here is a video pertaining to the pros and cons of doing BA from Fergusson Colloge