Chutneys are usually fruit based with spices and sugar added...
it is usually simmered until you have a thick gooey consistency. When I was selling mine, I made it with mango, onions, bell peppers, cider vinegar, mustard seeds, brown sugar, ginger, curry powder, red and black pepper. I made mine quite spicy. I used the same basic recipe to make peach, pineapple, apple and nectarine chutney. It is wonderful served with ham, turkey or on top of cream cheese as an appetizer.
Generally, salsa are made with tomatoes or tomatillos, onions, peppers, garlic, cilantro and salt. They can be either cooked or raw, and are usually on the savory side.
There is of course fruit salsas, which are usually made with fresh fruit rather than tomatoes, and tend to be on the sweeter side.