In addition to the portrait, a collection of handwritten letters by Gandhi to the family of Sarat Chandra Bose, a freedom fighter and the elder brother of Subhas Chandra Bose, fetched 37,500 pounds at a Sotheby's auction.
"Gandhi usually refused to sit for formal photographs, let alone a portraitist, making this an extremely rare portrayal of the political leader at work," the auction house said in a statement.
The sketch shows Gandhi writing with a look of intense concentration whilst seated on the floor, and is inscribed by him with the words "Truth is God/MK Gandhi/4.12.'31'."
Gandhi stayed at Kingsley Hall at the time, a community centre in London's East End, at the invitation of one of its founders Muriel Lester who had previously stayed in Gandhi's ashram (hermitage) in India.
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The portrait was estimated to fetch between 8,000 and 12,000 pounds while the letters were valued between 23,000 and 33,000 pounds.
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