Whenever any organization claiming exemption from property tax under the provisions of subdivision (7), (10), (11) or (16) of section 12-81 has not filed within the time prescribed, a quadrennial statement concerning such claim for exemption as required in said subdivisions, the assessor or board of assessors of the municipality in which the property is situated, upon receipt of proof of substantial compliance by such organization with the requirements concerning submission of such statement, may allow an extension of time not exceeding sixty days within which such statement may be filed, provided whenever an extension of time is so allowed, such organization shall pay a fee of thirty-five dollars for late-filing to the municipality in which the property with respect to which such statement is submitted is situated.