10th 95
12th 85
btech cgpa 6.1
no work ex
3 internship
one in investment banking 2 in strategy and growth
music 3 year course indian classical post btech
percentile required for iim c and FMS

Hi, Your profile 9/8/6 looks decent. Your graduation marks are slightly on the lower side. You didn't mention your category. So considering you are general category in engineering you need to score 99.5+ to get a call from FMS and anywhere near 99.7+ for IIM C.
Your internships and even though directly doesn't constitute as work experience, can be helpful in interview process.
You can check percentile required for all the b-schools at Cracku percentile predictor: https://cracku.in/cat-percentile-predictor Link is in our bio! You can also google search "Cracku CAT Percentile Predictor"
All the best.