Non - Engineer with Bad Acads

Hey Puys, I just started browsing these forums and got myself registered today. These forum are very informative.Im a commerce student who gave CAT 2012 just for laughs and got QA 73.12 VA 75.39 OA 75.38 Now i want to study, work hard and …

Hey Puys, I just started browsing these forums and got myself registered today. These forum are very informative.Im a commerce student who gave CAT 2012 just for laughs and got
QA 73.12
VA 75.39
OA 75.38
Now i want to study, work hard and give CAT 2013. However, I'm afraid my acads will ruin my hard work.
This is my Profile
Xth 80.2 % C.B.S.E
XIIth 77.2% C.B.S.E
I'm in Final year bcom and expecting 60% graduation.
Im have also cleared Inter-CA and pursuing CA final.
Do i have any chance of getting into the old IIMs provided i have scored a nice percentile in CAT 2013. I have heard IIMs are trying to diversify their batches wtih non-engineers.
Your replies are appreciated!