Engineering Entrance Exam

Yes, if you get good ranking (below 3000) in SRMJEEE exams, then you get the scholarship that reduces your fees; in fact, there are some scholarships based on JEE rank categories at SRM University: for example,
Rank-Based Scholarships:
Students ranked 1001 to 3000 can be accorded a 25% scholarship on tuition fees.
Up to 75% or more may qualify for higher ranks, such as 101 to 500.
The rest of the awards go to very meritorious students and other criteria set for scholarship. It would be essential to apply for the scholarship while undergoing the admission process as well as fulfilling any set stipulated conditions. For exact details, refer to their scholarship policy at SRM or to the admissions office.

Getting admission in NITs for B.Arch and B.Planning depends upon percentile as well as the factors like your category, seat availability in the respective state and state quota for SC/ ST/ OBC students which surpass 90.6 percentile in B.Arch and 92.4 percentile in B. Planning in JEE Mains Paper II.

For B.Arch and B.Planning, it depends on the Gen cateogy students throwning out their percentage so as to explain the NIT cutoffs. Commonly it varies from 94-98 percentile for top most NITs like NIT Trichy and NIT Calicut only. However, for NC-OBC, SC, and ST categories, the cutoff can be low about 85- 92 percentile.

You might get through in the lower ranking NIT's or under Domicile Quota if available in the NIT's. Going to the rounds of CSAB may seem to work better regarding getting seats for studies.