Ripe for restoration, the mansion at 41 East 70th Street, a 28-foot-wide neighbor of the Frick museum that was built in 1929 for Walter N. Rothschild, a department store magnate, and his wife, Carola Warburg Rothschild, sold for $32 million and was the most expensive sale of the week, according to city records. The asking price for the mansion, whose backyard is part of the private gardens known as the Lehman Gardens, was $40 million. The brick-and-limestone house has 11,256 square feet of interior space and a staircase that rises to a skylight. It had been owned from 1958 to 2012 by the Century Foundation, which used the top floors for offices. The garden and parlor levels retain the reception gallery, libraries and a kitchen. The seller, Leroy Schecter, the steel magnate who is asking $85 million for his 35th-floor aerie at 15 Central Park West, bought the mansion for $25 million in November 2012 but did not undertake renovations. The anonymous buyer used the limited-liability company Brightstar Renovations. Paula Del Nunzio of Brown Harris Stevens, the listing broker, called the house "unique," citing its width, garden and abundance of windows.