For men, either of the sides of the chest is a great place to fix the brooch but depends upon the outfit worn by a man which is why a brooch may also look wonderful in the middle over a tie with buttoned-up collar. For women, a brooch is more often than not fixed on the left shoulder as that is where the saree or dupatta has to be kept in place. Even on western outfits for women such as an English suit or semi-formal top, left side over the chest is where a brooch is placed.