Any State which has entered into an agreement with the Commissioner of Social Security under this section which provides that the Commissioner of Social Security will, on behalf of the State (or political subdivision), make the supplementary payments to individuals who are receiving benefits under this subchapter (or who would but for their income be eligible to receive such benefits), shall, in accordance with paragraph (5), pay to the Commissioner of Social Security an amount equal to the expenditures made by the Commissioner of Social Security as such supplementary payments, plus an administration fee assessed in accordance with paragraph (2) and any additional services fee charged in accordance with paragraph (3).