These days, one of the luxuries considered to be essential in a luxury car is speed. In 1926, cars tended to be either fast or luxurious, rarely both. Rolls-Royce was looking to change the perception of what a luxury car could do when they built this Phantom prototype, the 10EX. The "torpedo" bodywork was thought to be more aerodynamic, and it certainly is one of the more unique-looking prototypes we've ever seen from RR.
Perhaps this is why the 10EX is the only one of the many, many prototypes RR has built over the years which they hung onto, save for a brief period when it was rumored to have been loaned to Laurence of Arabia. The 10EX will be put up for auction on June 23rd at Salon Prive, where it is expected to go for somewhere between $650,000 and $1.3 million.