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Books and More sells books, music CDs and film DVDs. In December 2009, they earned 40% profit in music CDs and 25% profit in books. Music CDs contributed 35% towards their total sales in rupees. At the same time total sales in rupees from books is 50% more than that of music CDs.If Books and More have earned 20% profit overall, then in film DVDs they made
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By: anil on 05 May 2019 02.38 am
Let total cost price of Books and More = $$RS. 100x$$ It is given that Books and More have earned 20% profit overall => Total S.P. = $$frac{120}{100} imes 100x = 120x$$ Thus, S.P. of music CDs = $$frac{35}{100} imes 120x = 42x$$ S.P. of books = $$42x + frac{50}{100} imes 42x = 63x$$ => S.P. of DVDs = $$120x - 42x - 63x = 15x$$ 40% profit is earned in music CDs and 25% profit in books. => C.P. of music CDs = $$frac{100}{140} imes 42x = 30x$$ and C.P. of books = $$frac{100}{125} imes 63x = 50.4x$$ => C.P. of DVDs = $$100x - 30x - 50.4x = 19.6x$$ => Loss made on DVDs = $$19.6x - 15x = 4.6x$$ $$ herefore$$ Loss % on DVDs = $$frac{4.6 x}{19.6 x} imes 100 = 23.46 \%$$
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