Cut chicken into about 2-inch chunks. Put in a 10- to 12-inch nonstick frying pan over medium-high heat. Turn pieces as needed until lightly browned, about 10 minutes.
Add curry powder to pan and stir about 30 seconds, then mix in chutney, ginger, lemon juice, and chicken broth. Scatter mango over chicken. Cover and simmer, stirring occasionally, until chicken is tender when pierced, about 30 minutes.
With a slotted spoon, transfer chicken to a bowl and keep warm. Boil sauce, uncovered, over high heat, stirring to prevent sticking, until reduced to about 1 1/4 cups, 2 to 4 minutes. Pour sauce over chicken.
Serve chicken mixture on rice; add salt to taste.