In the event of any dispute relating to the cost payable under
section 39 or
section 40 or the compensation determined under
section 41 or the person or persons or the section or class of persons by whom or the proportion in which such cost or compensation should be paid, the matter shall be referred by the Collector, or the Administrator or the competent authority, as the case may be, on an application made in that behalf by the aggrieved party, to the Chief Metropolitan Magistrate, whose decision thereon shall be final.