Reasonable expenses not to exceed the actual costs of collection incurred by any tax collector, except the Department of Revenue, for the administration or collection of the school taxes authorized by KRS 160.605 to 160.611 and 160.613 to 160.617 shall be reimbursed by the local boards of education on a monthly basis or on the basis agreed upon by the boards of education and the tax collector. The expenses shall be borne by the school districts on a basis proportionate to the revenue received by the districts.