The Shropshire-based auction house Mullock Madeley sold the programme at Ludlow Racecourse on Thursday over the phone to a private buyer.
Auctioneer John Mullock said:
"It features pictures of the United stars Meredith and Roberts together with descriptions of the new ground and the usual team line-ups.
"It marks a very important moment in the club's history.
"There is an ever-growing interest in collecting football programmes generally, and we expected this one to create considerable interest."