Probate or letters of administration shall have effect over all the property and estate, movable or immovable, of the deceased, throughout the State in which the same is or are granted, and shall be conclusive as to the representative title against all debtors of the deceased, and all persons holding property which belongs to him, and shall afford full indemnity to all debtors, paying their debts and all persons delivering up such property to the person to whom such probate or letters of administration have been granted:

Provided that probates and letters of administration granted—

(a) by a High Court, or

(b) by a District Judge, where the deceased at the time of his death had a fixed place of abode situate within the jurisdiction of such Judge, and such Judge certifies that the value of the property and estate affected beyond the limits of the State does not exceed ten thousand rupees, shall, unless otherwise directed by the grant, have like effect throughout the other States ***. The proviso to this section shall apply in India after the separation of Burma and Aden from India to probates and letters of administration granted in Burma and Aden before the date of the separation, or after that date in proceedings which were pending at that date. The proviso shall also apply in India *** after the separation of Pakistan from India to probates and letters of administration granted before the date of the separation, or after that date in proceedings pending at that date, in any of the territories which on that date constituted Pakistan.