Shri Ram College of Commerce, University of Delhi

Firstly, your main preference should be the marks you have to score well. In class 12th, only on this basis, you will get the college as per you. Score around 98 to 99% to get admission.

Here are some courses which have an entrance. The cutoff of BCom honors is starting from 98%. BA maths, BA economics is on a merit basis. BA mass communication, BBA has entrance. This time dU registration would start from april

You can get admission to other good colleges of DU in the south campus of Delhi University. The cutoff at the north campus started from 98%. Last year. But, it can vary this year also.
Since you asked about bcom honours, maths has been made compulsory. They will reduce your percentage by2.5% for maths but you can get admission to the course without maths also.

B.Com from such a college is not gonna affect your IIM dream. Iims even give extra marks for those non-engineers graduates. So, it's the best option to go for SRCC and study for CAT in free times.

SRCC conducts its own entrance examination for admission to GBO program.