For a general category student with 87 percentile, it won't be possible to even get a call from any of the new IIMs. To get a call from new IIMs you need to have atleast 95+ percentile and even for ultra new IIMs, you need to have 92+ percentile.
But you can still look for some of the other b-schools like:
There is again no surety of selection or getting a call from these colleges because CAT marks are not the only parameter involved in the selection procedure. After CAT exam every college in which you have applied prepares a merit list to call students for next round of interview based on your aggregate score which comprises of many parameters such as CAT marks, 10th, 12th and graduation percentage, work experience, engineer or non-engineer whose weightage varies for all different colleges. And after your second round of interview again a new merit list is made which also includes marks of your interview, GD and WSAT which along with CAT marks generally have the highest weightage.
All the best!!
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile