This section of the track was cut up to be used as a desk weight with the engraving 'First rail rolled from Tata Steel by the Tata Iron & Steel Co Ltd/ Sakchi. India/March 18th 1912', the company said in a statement.
It did not say how much it paid in the auction.
This heritage piece was a part of collection of precious objects from the Estate of Mary, the Duchess of Roxburghe.
It will now be kept at the Tata Steel Centre for Excellence at Jamshedpur.