Heat ghee in a medium size pan on medium heat, add the grated carrot and cook stirring frequently, until the carrot doesn’t smell raw anymore, about 5~6 minutes.
Next add milk. Bring to a simmer then lower the heat and cook covered till carrot is tender, this takes about 12~15 minutes.
Add sugar and condensed milk. Cook till the mixture starts to thicken, about 15~18 minutes.
Add the ground cardamom, mix well and cook till the mixture starts to leave the sides of the pan. Remove from heat and cool completely.