The victim, a 71-year-old local woman, was shopping in Morrisons on 12 February 2015, when he card was stolen.
The card was then used at various stores in Northallerton and Thirsk.
Officers have released CCTV images of a couple who were seen in Argos, Northallerton, at the time the card was used fraudulently.
They are appealing to anyone who recognises the people in the images to get in touch with information.
If you prefer not to give your name, Crimestoppers can be contacted anonymously on 0800 555 111.
Please quote reference number 12150024228 when passing information about this incident.