Engineering

To be qualified for JEE Advanced, one must fulfill certain specified criteria like clearing the JEE Main exam with ranking among the top 2,50,000 candidates. If you got 86.35 percent in the JEE Mains B.Arch exam, you need to check if your rank comes in that bracket. In addition to that, candidates must also clear their Class 12 examination with Physics, Chemistry, and Mathematics as compulsory subjects.
Since you are interested in B.Arch, then you must also satisfy any additional eligibility criteria related to the drawing test. If your rank fits within the top 2.5 Lacs and you otherwise qualify, then you should be eligible to appear in JEE Advanced.

You have an 87 percentile score in JEE Mains as a female in the General EWS category; here are some engineering options for you, that are either from or near Maharashtra:

Vishwakarma Institute of Technology (VIT), Pune: Very strong in engineering: Usually requires a percentile around yours to qualify.

MIT World Peace University, Pune: This university brings you a lot of engineering programs; it guarantees admission for students at this percentile.

Sardar Patel Institute of Technology (SPIT), Mumbai: Highly competitive but sometimes accepts students at your level, especially in the EWS category.

Thakur College of Engineering and Technology, Mumbai: This institute usually has cut-offs in the range of your score.

KJ Somaiya College of Engineering, Mumbai: Another college in which you might possibly get admitted based on your percentile.

You might be able to get admission into DTU with a 71 percentile in JEE Mains, 60% in your 12th grade, and from the SC category. Some key points related to eligibility:
Eligibility: To seek admission to B.Tech in DTU, one has to have passed Class 12 with aggregate percentage not less than 60%. The combination is PCM, however for SC students, there is relaxation and often the minimum percentage is considered.
JEE Mains Score: Admissions are mainly offered based on the scores of JEE Mains, which will be considered by the JAC Delhi counseling process. Your 71 percentile would be competitive for some streams, so ensure to see the precise cutoffs for this year.
Counselling Process: It will book only a seat after you participate in the counseling process of JAC Delhi. The final admission will be according to the rank you have, and there are also seats available in the branch you want to pursue.

Possibility of Admission to VIT Andhra Pradesh

It may get very tough with an Andhra Pradesh EAMCET rank of 9202, yet the chances of undergoing admission into VIT Andhra Pradesh under the BC-E category are not entirely impossible. Actual admission cutoffs every year vary due to the number of applicants, available seats, and how popular a particular programme is.

For instance, admissions in Computer Science Engineering, normally a most competitive program, would generally find their cutoff ranks lower than or roughly about 5000. On the other hand, there exist some programs whereby students are admitted at comparatively higher ranks. 

Looking at the cutoff trends over the last few years and keeping tabs on any releases from VIT, Andhra Pradesh concerning the admissions for the present year would be worth a shot. 

However, BHU does not have any current NIRF ranking for engineering as per the latest data for Baba Mast Nath University (BMU) in Rohtak Haryana. Even though BMU has engineering courses in Computer Science, Mechanical and Civil Engineering disciplines, the university's main role is to offer education at a low cost not to fight for the top positions in the national rankings.

The admission to engineering is quite normal and easy with limited prerequisites, typically Class 12 performance with more than 45-50% in PCM – Physics, Chemistry & Mathematics. The engineering programs at BMU are recognised by AICTE and they offer some practical learning facilities but if getting a rank or being a nationally renowned institute is the dream then one might compare BMU with some other institutes of that particular zone.

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.

With your All India Rank of 25558 and with the latest cutoff trends in B.Tech programs, here is how it pans out for you:
IGDTUW (Indira Gandhi Delhi Technical University for Women)
CSE Cutoff: The last round closing rank for B.Tech in Computer Science and Engineering (CSE) at IGDTUW was around 25613 for the general category.
Admit Chance: Since your AIR is 25558, you shall certainly get into CSE of IGDTUW. Your rank is just well within the bracket.
DTU (Delhi Technological University)
ECE Closing Rank : The cut-off rank to get a B.Tech in ECE at DTU came in at 6406. For General Category,
Admit Chance: Using the AIR that you've acquired, the probability of ECE at DTU won't be likely since it far exceeds the closing ranks.