BBA

BBA honors is any day better than BBA, you have one additional subject in that, the more you read, the more you will get in terms of good placement. If the reputation of the college or institute is good and you don't study it will not help you.

It is not necessary that you need to have maths in class 12 in order to pursue BBA in India.
There are some colleges like NMIMS School of Commerce, in which maths is compulsory for admission.
It is because the curriculum there is very exhaustive and requires quantitative and analytical skills.
Whereas

First, you have to visit Prestige Institute of Management and Research website.
There you'll get admission form.
Fill that form and at last, you have to appear in counselling (admission is granted on the basis of your class 12th percentage).

Eligibility Criteria for BBA at Galgotias University is XII passed from a recognised board with with minimum 50% marks in best four relevant subjects. As per their website, maths is not compulsory.

Graduate of all disciplines are eligible to appear for CAT examination to seek admission in MBA or PGDM. You can choose any in which you can excel in academics. If you target is MBA Finance then B.Com is the best option after 10+2 stage.

Fresh BBA grads salary range is Rs 2 Lakh per annum to Rs 8 Lakhs per annum depending on college ranking. Fresh MBA grads salary range is from Rs 5 Lakhs per annum to Rs 15 Lakhs per annum depending on college ranking. IIMs PGDM grads get top of range salaries.

BBA grads start their career as supervisor and MBS grads start as Manager. BBA grad will take 4 to 8 years years to reach to level of MBA graduate depending on his or her performance.

Yes, you can very well choose specialization of your interest and choice. You can look for MBA in finance as you already have basic knowledge of finance/accounts/costing.