Dear Ayush,
You can get tuition fee remission up to 100% in IITs and NITs. provided you have an income certificate.
Other colleges with low fees are as follow,
Jadhavpur University (West Bengal ) is one of the best and cheapest college of the country. The cost of studies is as less as 3000 per annum. Placements are also excellent. It is very affordable to a larger section of society. NIRF rankings of this college is thirteen.
Zakir Hussain College of Engineering (Aligarh Muslim University) with NIRF rankings as 35 is also one of the best & cheapest college for engineering.
Jamia Millia Islamia (New Delhi) is another college for engineering as an affordable option.
Hope this will help you
All the best
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