Calculations of Long Term gain/loss on Private Limited Companies Shares transfer

Yes, long term...... Yes, indexation benefit available........ LTCG tax 20.6% with cess.

The benefit of charging long-term capital gain @ 10% is available only in respect of long-term capital gains arising on transfer of any of the following asset:

(a) Any security which is listed in a recognised stock exchange in India;

(b) Any unit of UTI or mutual fund (whether listed or not)  and

(c) Zero coupon bonds.

In your case it is not applicable........