1) Can I make my wife to co-own the property given that it is still under loan?
She cannot become a co-owner of the property without having a share in it.
For this you have to give her gift or sell a portion of the property to her by a registered deed.
This cannot be possible during the subsistence of loan. The bankers will not permit a portion of property to be alienated to third person during the subsistence of loan on the property.
2) If yes,
a) what is the least expensive method?
b) What are the bank related procedures?
c) Can you please detail out the stamp fees, Registration fee etc based on the current prevailing rates in Tamil Nadu (in relation to your response to question 2a above. Also please tell me on what amount is this applicable (i.e for example if I need to pay a stamp duty of 1% to register as gift, should it be on the whole amount for which I bought the flat (UDS + Construction) or only on the UDS or what is the actual amount against which I need to pay the stamp duty or what ever?
There is no yes to your first question itself hence second question has no validity.
3) If the above are possible, then can she be the person enjoying the rental income fully or should it be partial only?
The above is not possible during the subsistence of bank mortgage loan, first clear them and discharge the loan fully after which you can initiate the proposed action accordingly.
4) If it is partial, on what basis the ratio is determined? Is it based on the proportion that I gift to her?
(i.e If I give 50% as Gift, then should be enjoy only 50% of the rental income or can she enjoy that in full or are they not related):
As far as the rent is concerned, the owner of the property can get them, and if there are two owners and there is no understanding between them then they can claim rental income proportionately in accordance to their share in the property.
5) Can I still be getting the benefits of tax for the full amount (Interest + Principal) or is that also going to be partial based on the ratio of the gift once the deed is executed.
The income tax shall be computed on the total income of yours from all the sources.