Question
Rajesh purchased 10 books, 30 copies, and 20 files,
respectively for Rs 2000, Rs 1500, and Rs 1200 respectively from the whole sale shop. By selling each book and each copy wholesaler made a profit of x% and y%, respectively such that y=4x. Find the profit percentage by selling all the files if the cost price of each book, each copy, and each file are in the ratio 4:2:1.ÂSolution
Let the cost price of each book , copy, and file be 4a, 2a, a Selling price of each book = 2000/10=200 Selling price of each copy = 1500/30=50 Selling price of each file = 1200/20=60 Profit percentage on book = ((200-4a))/4a×100 Profit percentage on copy = ((50-2a))/2a×100 As per the question y=4x ((50-2a))/2a×100 = ((200-4a))/4a×100×4 a= 55 Hence cost price of each file is Rs 55 Profit percentage after selling each file = ((60-55))/55×100 = (5/55) × 100 = 9(1/11)%
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