USA

No, studying at the Massachusetts Institute of Technology is not expensive for Indian students. Applicants can study various undergraduate and postgraduate programs at reasonable tuition fees as compared to other universities in the USA. The MIT tuition fees for undergraduate courses like B.A., BBA, and B.Tech are around INR 50 L to INR 52 L. Also, MBA fees at MIT are around INR 35 L to 77 L depending upon the specialisations. 

International students seeking admission at universities based in USA required to fulfil the following requirements to secure their candidature. Show your academic accomplishments, which includes providing your official school transcripts. Candidates need to score very high in academics and must have extra curriculars to show as part of their profile. Demonstrate your English proficiency if English isn't your native language. You can do this by taking the TOEFL, IELTS, or Duolingo English Test (DET). SAT/ACT scores are optional.

For choosing college between cornell University and IIM Raipur it's based on some requirements like your career goals and financial situation and personal preferences and some based like

1.Curriculum 

Based on the curriculum and the teaching faculty and the requirements for your course and well-equipped library and lab experiments for these both colleges will be very good 

2.reputation

Based on reputation cornell University has more reputation than the IIM raipur 

3.fees

Cornell University:70,000 dollars per year

IIM raipur:15 Lacs for the entire course 

Choosing between University in USA and India it is based on your interests on some topics like

1.curriculums

Both the universities will be having good teaching faculty and good equipment of labs and good equipment of library

2.reputition

Based on the reputation university of Chicago has more reputation than lucknow because it is in new york

3.fees

University of Chicago:80,000 dollars per year

Lucknow:20 to 25 Lacs for the entire course