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Hi Isha,
As Shiksha is an Education portal which believes in giving unbiased guidance, it would be unfair on my part to give you my personal opinion. However, Acharya Institute of Management & Science is one of the oldest and quite renowned Institutes as compare to Indian Academy which established in the year 2004.
I would like to add here that few of the things which you should keep in mind while choosing an Institute are: First and foremost the recognition of the Institute (the institute must be recognized by UGC or AICTE), Secondly, the course curriculum and the study material, the infrastructure, the faculty (their educational background), the placement, last but not least Institutes reputation in the job market for which you should visit the institute and try and talk to the current batch students and get few of the alumnae contacts as well. This will give you a real picture about the institute.
For more information on the two institutes go through the alumnae speak of both the Institutes:
https://www.shiksha.com/Aims-Acharya-Institute-Of-Management-Sciences-Aims-reviews-institute-college-listingalumnitab-3698
https://www.shiksha.com/Indian-Academy-School-Of-Management-Studies-reviews-institute-college-listingalumnitab-26733
Hope this resolves your query. Feel free to put up more queries In case your query is resolved please close this question by choosing it as a "best answer" or pressing the "thumbs up" icon.
Thanks,
Pooja