Hello Abhishek,

There are some colleges accepting CAT score between 70-75%.

-> Welingker, Mumbai

-> Amity Business School, Noida

-> NL Dalmia Institute of Management Studies and Research, Mumbai

-> Alliance School of Business, Bangalore

-> Jagan IMS, Delhi

-> Christ University, Bangalore

-> UPES, Dehradun

-> ITM, Navi Mumbai

And there are some colleges accepting XAT score 60 percentile.

-> Balaji Institute of Modern Management, Pune

-> FIIB, New Delhi

-> Jaypee Business School Noida (delhi NCR)

-> IMT, Hyderabad

-> Apeejay School of Management , Dawarka New Delhi

Best of luck.