MAT

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

You may get admission in Graphic Era University, Doon Business School, Quantum School of Business, etc.

As far as your percentile is concerned some colleges accepting MAT at this score are:
Alliance School of Business, Alliance University, Bengaluru
Indus Business School (IIEBM), Pune
Indus Business Academy (IBA), Bengaluru
International School of Management Excellence (ISME), Bengaluru
Balaji Institute of Modern Management (BIMM), Pune
Xavier Institute of Management and Entrepreneurship (XIME), Bengaluru
Institute of Finance and International Management (IFIM), Bengaluru
Institute of Public Enterprise (IPE), Hyderabad
Christ University, Bangalore.

Hi,Some of the top colleges in which there's a chance:
International School of Business & Media (ISB&M), Pune
Universal Business School (UBS), Mumbai. Institute of Technology & Management (ITM), Navi Mumbai
University of Petroleum & Energy Studies (UPES), DehradunXavier Institute of Management and Entrepreneurship (XIME), Bengaluru.

Yes, you can definitely get admission for MBA.