Hello Navya..There are number of Colleges in Mumbai which offer BA and B.Sc Psychology ( Honrs.) Here I am suggesting some Colleges in Maharashtra you can choose according to your preference.

1. MIT world Peace University- Pune

2.  Amity Universitiy- Mumbai, Panvel

3.St. Xevier's College- Mumbai

4. Mahatma Gandhi Aantarrashtriya Hindi Vishwavidyalaya- Mumbai, Wardha

5.Mumbai University- Mumbai

6.Goa University- Goa

7. Amrawti University- Amrawti

8. Dr B.R Ambedkar Marathwada University- Aurangabad

9. North Maharashtra University- Jalgaon

10. Nagpur University- Nagpur

11.SNDT Women's University- Mumbai

Hope it helps.

Good Luck