This patient would have an increase in conjugated bilirubin in their blood.  Remember, this patient has post-hepatic jaundice due to gallstones, therefore, there is nothing to impede the unconjugated bilirubin from getting into the liver.  Also, the liver is fine, so there should be no problems with the conversion of unconjugated bilirubin into conjugated bilirubin.  With the bile duct obstruction, the problem lies in getting the conjugated bilirubin into the small intestines.  Due to the blockage, the conjugated bilirubin leaves the liver and goes out into the general circulation accounting for the increase of conjugated bilirubin in the blood.