The necessary books, records and blank forms needed for a reassessment shall be furnished by the same authorities that furnish books, records and blank forms for an original assessment. Local assessment officers and the members of the board of appeals, when convened in extraordinary session to make a reassessment or to review and correct the reassessment shall receive the same compensation as for like service in making or reviewing an original assessment. The compensation and all other expenses in making the reassessment shall be paid by the county on the certificate of the Department. However, the township, townships or other assessment district or districts in which the reassessment is accomplished, shall reimburse the county for all expenses, including amounts expended as salaries or compensation, which the county has incurred by reason of the reassessment. The amount to be contributed to the county by each such township or other assessment district shall be apportioned on the basis of the expense incurred in reassessing that township or assessment district.