Hey Mayesh,

Not all colleges in mumbai requires an entrance exam for bcom. Some top colleges of mumbai also provide bcom course based on your merit in 12th grade. Here are some of them:  

St. Xaviers College

Narsee Monjee College of Commerce & Economics 

KJ Somaiya College of Arts and Commerce 

St. Andrews College of Arts, Science & Commerce

Jai hind College

RA Podar College of Commerce and Economics

Sydenham College of Commerce and Economics 

I'll also provide you with some of the top Entrance based colleges of Mumbai: 

Mithibai College of Arts

HR College of Commerce and Economics 

KPB Hinduja College of Commerce

SVKM’s NMIMS

Hope you find this helpful!