Where, by virtue of any of the provisions of this Part, either of the States of Bihar or Uttar Pradesh becomes entitled to any property or obtains any benefits or becomes subject to any liability, and the Central Government, on a reference made within a period of three years from the appointed day by either by the States, is of opinion that it is just and equitable that that property or those benefits should be transferred to, or shared with, the other State or that a contribution towards that liability should be made by the other State, the said property or benefits shall be allocated i n such manner between the two States, or the other State shall make to the State subject to the liability such contribution in respect thereof, as the Central Government may, after consultation with the two State Governments, by order determine.