Hello, Prasad. You mentioned that  you secured 87 marks out of 200 in NATA 2021. Based on your marks your percentile should lie in the range of 14.78 to 15.25 (approx). As per your marks and percentile, you have less opportunity to get admission in top colleges for B.Arch. Although, you may get chance at:

• Jagannath University, Jaipur ( https://www.careers360.com/university/jagannath-university-jaipur )
• Reva University, Bengaluru ( https://www.careers360.com/university/reva-university-bangalore )
• Sir J J College of Architecture, Mumbai ( https://www.careers360.com/colleges/sir-jj-college-of-architecture-mumbai )
• Purvanchal Institute of Architecture and Design, Gorakhpur ( https://www.careers360.com/colleges/purvanchal-institute-of-architecture-and-design-gorakhpur )
• CT Group of Institutions, Jalandhar ( https://www.careers360.com/colleges/ct-institute-of-architecture-and-planning-jalandhar )
• Vivekananda Global University, Jaipur ( https://www.careers360.com/university/vivekananda-global-university-jaipur )

and more...

Among the names that I have mentioned, Reva University, Vivekananda Global University and Sir J J College of Architecture, Mumbai carry comparatively better ratings and positive reviews than the others.

I hope all this information is enough to answer your doubts. I wish you all the best for your future and career.

Thank You.