Funds appropriated in the general City budget or thereafter by the Council for expenditure by any officer, board or department may be transferred to the Reserve Fund or the Unappropriated Balance, or appropriated for the same or other purposes by other authorized officers, boards or departments and the budget or other spending authority amended accordingly:
(a) for transfers not in excess of an amount established by ordinance, on the approval of the Mayor, provided that the Mayor shall give notice of such transfer at the time it is made to the City Clerk who shall notify the President of the Council, the Controller and the Director of the Office of Administrative and Research Services of the transfer;
(b) for transfers in excess of an amount established by ordinance, on the approval of the Mayor and a majority vote of the Council; or
(c) for transfers in excess of an amount established by ordinance, on the majority vote of the Council, subject to the approval of the Mayor, or passage by the Council over the Mayor’s veto by a two-thirds vote.
If any order making a transfer is not returned to the City Clerk by the Mayor, for presentation to the Council, with objections in writing, within ten days after it has been presented, it shall become effective and be as valid as if the Mayor had approved and signed it.