In the scenario where the President is badly injured and unable to inform the Vice President about his inability to discharge the powers and duties of his office, the power would be transferred to the Vice President as follows:
The Vice President and a majority of the members of the Cabinet would inform Congress in writing that the President was incapacitated.
This option aligns with the provisions outlined in Sections 3 and 4 of the 25th Amendment, which allow the Vice President and a majority of the Cabinet to inform Congress of the President's incapacity.