a shopkeeper purchase a book for 80 Ruppees .If he had bought 4 more books for the same amount each book would have cost 1 ₹ less . Find the no. of books he bought
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Step-by-step explanation:
Let the shopkeeper buy x number of books.
According to the given condition cost of x books =Rs80
Therefore cost of each book =x80
Again when he had brought 4 more books
Then total books in this case =x+4
So cost of each book in this case =x+480
According to Question,
x80−x+480=1
x(x+4)80(x+4)−80x=1
x2+20x−16x−320=0
(x−16)(x+20)=0
x=16orx=−20
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