When the hearing provided for in Section 19-9 has been concluded, the city council shall, by ordinance, assess against the owner of the property and against his property the cost of the work performed in doing the things provided for and set forth in the resolution and notice, including the cost of the publication of the notice, and shall adjudge and declare a personal liability against such owner of such property and against the property, and shall also adjudge and declare a privilege lien thereon. The city manager or director shall forthwith thereafter file with the county clerk a statement of such assessment and expenses, provided it shall have been determined by the council upon such hearing that the owner and his property has been benefited and enhanced in value in an amount at least equal to the assessment and expenses. If in any case it shall be determined on such hearing that the property of any owner is not benefited and enhanced in value by the performance of the work thereon, then no such assessment shall be made against the property or against the owner thereof; provided, however, that if after such hearing it shall be determined by the council that the property has been benefited and enhanced in value in an amount less than the cost of such work so done thereon, together with the cost of publication of the notice, then the council shall assess against the owner and the property only such an amount as shall equal the benefit received by such owner and his property. (Code 1941, Art. 86-52; Ord. 27697)