Dermatophytid eruptions in darker-skinned individuals are hypersensitivity reactions to a fungal infection, presenting as itchy, red, or inflamed patches that may be darker or lighter than surrounding skin. These eruptions typically occur in areas distant from the original fungal infection site, often on the hands, feet, or legs, and can cause further discomfort and irritation. Treatment involves addressing the underlying dermatophyte infection with antifungal medications, such as oral terbinafine or topical clotrimazole, while managing the hypersensitivity reaction with corticosteroids to reduce inflammation.