B.Com

Yes, of course, you can try. What goes into trying? If you are lucky, you can get a good college under DU. But also the entrance matters.

It may be difficult to get admission in B.Com (Hons) degree based on your marks, you may opt for B.Com or BBA for further studies.

It means general B.Com without opting for any specialisation.

Of course, specialization courses will be more effective. It will clear your way for future.

The scope for B.Com plus MBA is enhancing year by year. You can go for Ph.D if you have already cleared your NET examinations. Or else, you can go for Fellowship Program in Management (FPM).

Shashank,
The eligibility for B.Com (Hons.) is:
Pass with 60% aggregate marks in 10+2 (with English) or equivalent, subject to qualifying LPUNEST-2017
Or
In case marks scored in 10+2 are 70% or above, then LPUNEST-2017 will be exempted and candidate may apply for admission.
Check the link for more details:
http://www.lpu.in/programmes/all/12th/Commerce/B.Com._(Hons.)#Details
For more information, visit LPU camp office in your town:
http://www.lpu.in/admission/lpu-in-your-town.php#lpu-town

It's typical to get admission in a college affiliated to PU, but you can get admission in evening department of PU. You can also get admission in DAV College which is a private college.