1) If you occupy a tenanted property which stood in your deceased grandfather's name but now you want that to have your father's name,then definitely the landlord will ask for his share for this but if you continue to live in the property then after the death of your grandfather the contractual tenant your father had become the statuary tenant can be evicted from the property according to the Rent Control Act applicable to your city/state, however in even of the death of your father being a statuary tenant,the tenancy will not pass on to you as only contractual tenancy can be inherited not the statuary. What it means in that case either you pay the amount of money asked in the form of 'Pagri' to the landlord & become the new contractual tenant with the tenancy in your mother name or you will find yourself out in the street without the landlord having court decree for your eviction as you will neither be a contractual nor statuary tenant but only an intuder in the property.
2) Pagdi is similar to renting system that is prevalant everywhere in the world. A house is said to be on Pagdi when it has a landlord and a tenant, just like the usual renting. The differentiating factor is that the tenant becomes a part owner of the house (not land). And the tenant can also sell the house.
but there’s a catch, lawfully if you sell the house a 33% of the amout is to be given to the landlord(lawfuly under the RENT ACT) but mostly it is settled for less percentage.
Also if you carry out any construction in the house you have to pay some amount to the landlord .