MAT

The following colleges can be best matched to your MAT profile.
1. BIMTECH, G. Noida
2. Jaipuria Institute of management, Lucknow
3. IPE, Hyderabad
4. ISBM, Pune
5. SDMIMD, Mysore.

Scholarship depends on your percentile in your entrance exams & majorly on college. You can also show them your sports achievements if you do have. It's an add on to the plate.

The following colleges can best suited to yours MAT profile.
1. Institute of Finance and International Management, Bangalore
2. IPE, Hyderabad
3. Balaji Institute of Modern Management, Pune
4. Jaipuria Institute of Management, Lucknow
5. Thiagarajar School of Management, Thirupparankundram.

The final selection is based on a lot of factors and hence we cannot speculate on it. However, as there is no cutoff for applying to PGDM, you can fill the form and give it a try. GD-PI is weighted highly in your selection process. You can also check about the AIMA course offered by SIES on its website.
Good luck

Your chance to get into N.L Dalmia depends on how well you perform in the admission process. The scores are weighted as follows-
1. Entrance test score i.e. CAT or XAT or CMAT or MH-CET or MAT or ATMA Score (We will convert your percentile to our grading scale as per our admission criteria)-40
2. Personal Interview-20
3.Group Discussion-15
4.Past Academic Record(10th,12th and graduation)-15 5.
5. Work Experience
6.Extracurricular activities(Sports or Cultural)-(At District/State/National level)-5
The total is 100.
Log in to https://www.nldalmia.in for registration and details.

There is no MBA college which will offer MBA under 1 lac. You can probably check the scholarships with colleges.

According to their website, they have both management and government quota. For government quota, they accept only TANCET scores. For management quota, they haven't mentioned about any entrance tests. My suggestion would be to ring up the college and ask about the acceptance of MAT scores. I am attaching the link to the college below:
http://www.mepcoeng.ac.in/index.php/departments/mba/26-mba-department/234-academics
All the best.

Yes, they will be accepting MAT score card of February for admission.

https://www.quora.com/What-are-some-good-colleges-for-96-percentile-in-MAT-Which-college-is-the-best-I-can-get-into
Check out these two links. Actually, your score is a really good one. So try to apply to all colleges that come in the top 10 or 20 in the country. Only thing you have to make sure is that those colleges accept MAT scores for MBA as for MBA some colleges accept only CAT, KMAT or CMAT. MAT is mostly accepted for PGDM.
All the best