Directions: Answer the questions based on the information given below.

In a company, three different kinds of clothing brands - 'GUCCI', 'PRADA' and 'LOUIS VUITTON' (LV) are liked by some fashion designers. The number of designers who like 'Gucci' is 10 less than the number of designers who like 'LV' and the number of designers who like all three kinds of clothing brands is 5% of the total number of fashion designers. The number of designers who like 'Gucci' and 'Prada' but not 'LV' is half of the number of designers who like all three kinds of clothing brands and the number of designers who 'Gucci' and 'LV' but not 'Prada' is 10 less than the number of designers who like only 'Prada'. The total number of fashion designers working in the company is 800. The number of designers who like 'LV' and 'Prada' but not 'Gucci' is 10 more than the number of designers who like 'Gucci' and 'Prada' but not 'LV'.The number of designers who like only 'Gucci' is 10 more than twice of the designers who like only 'Prada' and 42.5% of designers do not like any of these clothing brands.