Dhir won with the backing of his own party, the Congress, the Janata Dal-United and an independent in the 70-member house.
Mukhi got the support of the Bharatiya Janata Party and the Akali Dal.
Dhir's election came a day after Chief Minister Arvind Kejriwal proved his majority in the assembly.
A legislator from Jangpura, Dhir defeated Tarvinder Singh Marwah of the Congress by 1,744 votes in the Delhi election.
--IANS (Posted on 03-01-2014)