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Shares & Saves. Save. The most common types of allergic skin rashes are caused by perfume, soap, detergent and cosmetics reactions, chemicals from latex, elastic or rubber products and chemicals and dyes that are present in clothing.Other People Are Reading.hares & Saves. Save. The most common types of allergic skin rashes are caused by perfume, soap, detergent and cosmetics reactions, chemicals from latex, elastic or rubber products and chemicals and dyes that are present in clothing.
Other types of rashes include: 1  eczema: a common rash for people with asthma or allergies. 2  The rash is often reddish and itchy, with a scaly texture. 3  bug bites: tick bites are of particular concern, as they can transmit disease.4  psoriasis: a scaly, itchy, red rash that forms along the scalp and joints.he skin may become itchy, bumpy, chapped, scaly, or otherwise irritated. Rashes are caused by a wide range of conditions, including allergies, medication, cosmetics, and various diseases.