What is the total money (fee + all expenses) should I require to complete a B.E. at BITS Pilani campus if my family income is 6 LPA and having 8.6 CGP in every semester?

With a CGPA of 8.6, you are most likely to get 80% MCN scholarship in Pilani Campus. So your total fees for 4 year will be around 7 lakhs. It may go to a maximum of 8 lakhs but not more than that for sure. This amount is including almost all your expenses for which you’ll have to pay to the college. But you will get the scholarship money in the next semester. For example, if you apply in the 1st semester, the results of MCN will be released in the 2nd semester and you will get it’s benefit while paying the 3rd semester fees.