Hello Aspirant,
There are many MBA colleges which take admission into the course just on the basis of your cat/xat/ mat and other exam conducted for mba and gives low weightage into  consideration of your class 12th marks. Here is a list of few such colleges:-

• Indian School of Business (ISB), Hyderabad (accepts GMAT)
• Jamnalal Bajaj Institute of Management Studies, Mumbai (accepts CET)
• Xavier's Labour Relations Institute, Jamshedpur (accepts XAT)
• Lovely Professional University, Punjab (accepts/CAT/MAT/XAT/LPUNEST)
• Bharathidasan Institute of Management(BIM), Trichy
• Department of Management Studies, IIT Delhi
• Indian Institute of Foreign Trade, Delhi (own test)
• Management Development Institute (MDI), Gurgaon
• Narsee Monjee Institute of Management Studies, Mumbai (accepts NMAT)
• National Institute of Industrial Engineering (NITIE), Mumbai