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It's estimated that by 2020 the Islamic fashion industry will be worth hundreds of billions of dollars, and global brands like Burberry, Dolce & Gabbana and DKNY are just some of the fashion houses attempting to crack the market.   What started as brands targeting wealthy Muslims with one-off fashion lines for religious occasions, has grown to a global trend for women who prefer to dress conservatively. Alia Khan, founder and chairwoman of the Islamic Fashion and Design Council, explains why the 'modest market' is one of the fastest-growing in the world. Photo: A catwalk model showcases an Islamic inspired outfit at London Modest Fashion Week Credit: Getty Images