24.—(1) If the personal representatives of, or the widow, child or other dependant of, a person to whom this Part of these regulations applies receive a payment under the relevant pension scheme by reason of the death of that person, and that payment is calculated by reference to contributions which have been made to that scheme, or is made by virtue of a policy of assurance effected under the scheme, the premiums of which policy are defrayed by contributions thereto, an additional sum may be paid by the Secretary of State which shall not exceed the sum calculated in accordance with paragraph (2) of this regulation.
(2) The maximum sum payable under this regulation shall be the equivalent of the difference between the sum paid under the relevant pension scheme and the sum which would have been paid if there had been made the further contributions or increased contributions deemed to have made in accordance with regulation 18 for the purpose of computing the amount of retirement compensation which might have been paid to the deceased person, not being contributions deemed to have been made during any part of the period specified in that regulation which extends beyond his death.