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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.
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. = $$\frac{120}{100} \times 100x = 120x$$
Thus, S.P. of music CDs = $$\frac{35}{100} \times 120x = 42x$$
S.P. of books = $$42x + \frac{50}{100} \times 42x = 63x$$
=> 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 = $$\frac{100}{140} \times 42x = 30x$$
and C.P. of books = $$\frac{100}{125} \times 63x = 50.4x$$
=> C.P. of DVDs = $$100x - 30x - 50.4x = 19.6x$$
=> Loss made on DVDs = $$19.6x - 15x = 4.6x$$
$$\therefore$$ Loss % on DVDs = $$\frac{4.6 x}{19.6 x} \times 100 = 23.46 \%$$
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