Hey Aditya,

Private quota and management quota are totally different concepts.Private quota basically means that you can apply for admission in colleges by the rank which you are eligible for admission in government colleges,While management quota is for those who fail to qualify normal college merit cutoffs and ssecure direct admission by paying twice or thrice the normal.However private quota is comparitively less expensive and also helps to get admission in good colleges for the preferred stream.

Thank you.