Department of Management Sciences, Pune University (PUMBA)

You have to fill the application form given in the DTE website from there you can apply.

The cutoff for MH-CET is about 92%ile and for CMAT was about 98%ile
Yes you need to apply through DTE. Fill the application form there and after MH-CET results, you have to fill the option form, fill PUMBA in option form and you will be allotted college based on your results.

You have to apply through DTE only,visit DTE website for more information.

MH CET cut off for the last year was 96.9 percentile and cut off for All India seats was 99.21 percentile through different exams like CMAT, CAT, MAT . As per last year,the average package is 5.43 lacs p.a.

For all India seats scores of CAT, XAT, CMAT etc are accepted along with MAH MBA CET score. One can not tell exact percentile of CMAT score. However, last year cut off for all India seats was 99.23 percentile.

For all India seats scores of CAT, XAT, CMAT etc are accepted along with MAH MBA CET score. One can not tell exact percentile of MAT score. However, last year cut off for all India seats was 99.23 percentile.

Yes, you are eligible for admission in PUMBA.

Admission is not based on candidate's family income, it is based on how many marks you get in CET.
Also there is no fees for NT category students.

As per last year, average package for operation is 5.5 lpa.

Last question first, PUMBA is a university department of Management Sciences which is autonomous. and NO we do not have foreign study tour. PUMBA has some excellent faculty for finance so its good for finance too.
Regarding percentile you have to check last year DTE's website, i think around 96-98 percentile will get you through!