The partition , with the power transferred officially to Pakistan and India on August 14 â `` 15 , 1947 , was done according to what has come to be known as the 3 June Plan or Mountbatten Plan . The partition , with the power transferred to Pakistan and India on August 14 â `` 15 , 1947 , was done according to what has come to be known as the `` 3 June Plan '' or `` Mountbatten Plan '' .