If the owner, his legal representatives, or successors, of any lost, abandoned, or unclaimed property sold at auction or utilized by a City department, demands his property within six months from the date the property was received by the Police Department, the City Treasurer shall pay to him, after deducting the fees and expenses of the City in relation to the matter, the proceeds of the public sale; or, if the property was assigned to a City department, the property shall be relinquished to the legally identified owner of the property, after deducting administrative fees and expenses in relation to the matter.