shraya brought some book for $60.had she brought 5more broke for the same amount each book would have cost her $1less. find the number of books bought by the shraya and the price of each book
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x for RS . 60
C.P of 1 book = 60/x
x+5 = 60/x+5 -1
60/x+5 -1 = 60/x
60-x-5/x+5 = 60/x
x^2 + 5x = 300
x^2 + 5x -300 = 0
x^2 + 20x - 15x -300 = 0
x(x+20) -15(x+20) = 0
(x-15) (x+20) = 0
x - 15 = 0
x = 0 + 15
x = 15
hence number of book are 15
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