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Top 10 college is below :
1. National Institute of Technology, Tiruchirappalli, Tamil Nadu
2. National Institute of Technology, Warangal, Telangana
3. National Institute of Technology, Calicut, Kerala
4. National Institute of Technology, Surathkal, Karnataka
5. Motilal Nehru National Institute of Technology, Allahabad, Uttar Pradesh
6. Visvesvaraya National Institute of Technology, Nagpur, Maharashtra
7. Maulana Azad National Institute of Technology, Bhopal, Madhya Pradesh
8. National Institute of Technology, Rourkela, Odisha
9. National Institute of Technology, Durgapur, West Bengal
10. Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat.

If you are referring to a budget of 1 Lacs rupees, that would be approximately 1,360 USD. Assuming you are looking for colleges in India, there are many colleges within this budget range, but the cost of tuition and fees can vary significantly depending on the field of study and location of the college. Here are some examples of colleges in India with relatively affordable tuition fees:
Delhi University - offers a wide range of undergraduate and postgraduate programs at a reasonable cost.
Jamia Millia Islamia University - located in New Delhi and offers undergraduate and postgraduate programs in various fields of study.
Jawaharlal Nehru University - located in New Delhi and offers undergraduate, postgraduate, and research programs in various fields of study.
Osmania University - located in Hyderabad and offers undergraduate and postgraduate programs in various fields of study. University of Calcutta - located in Kolkata and offers undergraduate and postgraduate programs in various fields of study. It is important to do your own research and choose a college that is the best fit for your academic and career goals. Additionally, you may want to consider other factors such as the college's location, reputation, and available resources. Please upvote if it was helpful.

The law colleges in Mumbai and Vasai Virar are:
Viva College of Law, Thakur Ramnarayan College of Law, Mumbai. Rizvi Law College, Mumbai. Dr DY Patil College of Law, Navi Mumbai. Dr Ambedkar College of Law, Mumbai. Amity Law School, Mumbai. PGCL Mumbai - SVKMs Pravin Gandhi College of Law. MGM Law College, Nerul, Government Law College (GLC), Siddharth College of Law. Narsee Monjee Institute of Management Studies (NMIMS), Rizvi Law College (RLC), Jitendra Chauhan College of Law, KC Law College, Amity University - Mumbai, as per my knowledge these are the best you can go with this that are conducting 3 years LL.B. Course. The average annual fees in all the above College and university are between 40000 Rupees- 1.5 Lacs Rupees. Good luck.