Life at an IIM
Your 12th and Graduation marks are good enough to get you a call, you will need to compensate for your 10th marks with a higher CAT percentile - how much is difficult to ascertain because of lack of verifiable data. But, it is possible. In some IIMs, there is eligibility criteria basis 10th, 12th aggregate too - you'll have to check their respective criteria to be sure if you meet them. All the best!