Hi Kinjal,
Congratulations!!!
For taking admission in Delhi University in B.Sc psychology with 88%. There are many colleges offering this courses:
-Lady Shri Ram college for women
-Jesus and Mary college
-Kamla Nehru college
-Zakir Hussain college
-Gargi College
-Matasundari college for women
Last year the cutoff was very high(in 90% or above).
It all depends on the cut-off released by the colleges. You can get admission in good colleges , if the cutoff will not be too high.
There are chances you can get admission in the 2 and 3rd cut off , if there is vacancy of seats.
The admission for psychology in DU is on merit based only.
All the best!!!