Colleges, across India, accepting scores range 70 to 80 percentile are:

1. Amity University (Raipur, Gwalior, Mumbai, Jaipur, Noida, Lucknow)
2. Alliance School of Business - Alliance University, Anekal, Bangalore
3. Amity Business School, Noida
4. Amity International Business School, Noida
5. Asia-Pacific Institute of Management, Delhi
6. Birla Institute of Management Technology, Greater Noida
7. Birla Institute of Technology and Science, BITS-Pilani
8. Bengaluru School of Management Studies, GITAM University, Doddaballapur Road
9. Christ University Institute of Management, Hosur Road, Bangalore
10. CMS Business School, JP Nagar, Bangalore
11. Dr Mahalingam International Institute of Technology, Coimbatore
12. Goa Institute of Management, Goa
13. Great Lakes Institute of Management, Gurgaon
14. GNA University, Phagwara
15. IBS Business School (Ahmedabad, Gurgaon)
16. Infinity Business School, Gurgaon
17. Institute of Management, Nirma University, Ahmedabad, Gota
18. IIKM Business School, Calicut
19. IBS Business School, Bangalore, Mysore Road
20. Indus Business School, IIEBM, Wakad, Pune
21. International College of Financial Planning, Mumbai, Malad West
22. Institute of Chartered Financial Analysts of India University, Mizoram, Aizawl
23. IBS Business School (Mumbai, Pune, Jaipur)
24. IIKM Business School, Nungambakkam, Chennai
25. IFIM, Bhopal
26. IMT, Hyderabad
27. IMT, Nagpur
28. IMI, Kolkata
29. IMI, Bhubaneswar
30. IFMR, Chennai
31. JK Lakshmipat University-Institute of Management, Jaipur
32. Jagran Institute of Communication and Management, Bhopal
33. Jaipur National University
34. JRE Group of Institutions, Greater Noida
35. KIAMS, Harihar
36. NL Dalmia Institute of Management, Mumbai
37. Lotus Business School, Pune
38. Lovely Professional University (Jalandhar, Delhi)
39. MATS University, Raipur
40. Rajiv Gandhi Indian Institute of Management, Shillong
41. RICS School of Built Environment, Amity University, Noida
42. School of Petroleum Management, Gandhinagar, Ahmedabad
43. School of Business Studies - Sharda University, Greater Noida
44. SRIRAM Group of Institutions, Greater Noida
45. Universal Business School, Sion, Mumbai
46. Vignan's University, Guntur
47. Xavier Institute of Management and Entrepreneurship (Kochi, Bangalore)
48. Xavier University, Bhubaneswar
49. MDI, Murshidabad
50. XISS, Ranchi

Hello Shivam,

Hope you are doing well.

There are many colleges which accepts seventy to eighty percentile in CAT. Some of the good colleges are :

1. NIT Warangal

2. Xaviers Institute of Social Serviced

3. Vellore Business School, VIT

4. Shiv Nadar University

5. Indian Institute of Forest Management, Bhopal

And many good to moderate B-school where you can find good placements if you co-ordinate with the institute and focus on your personality development.

I'm sharing you a link where you can find a list of colleges where you can apply and have decent chance of getting shortlisted.

Please Check :

https://www.google.com/amp/s/bschool.careers360.com/articles/what-are-my-mba-admission-chances-70-80-percentile-in-cat/amp

I hope this will be very helpful to you.

All the best!

Thank-you