a man bought 10 books of same rate 80 rupees if he had bought 4 more books in this amount each book should have cost 1 rupee less. how many books did he buy?
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10th
Maths
Quadratic Equations
Solutions of Quadratic Equations
A shopkeeper buys a number ...
MATHS
A shopkeeper buys a number of books for Rs. 80. If he had bought 4 more for the same amount each book would have cost Rs. 1 less. How many books did he buy?
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ANSWER
Let the shopkeeper buy x number of books.
According to the given condition cost of x books =Rs80
Therefore cost of each book =
x
80
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+4
80
According to Question,
x
80
−
x+4
80
=1
x(x+4)
80(x+4)−80x
=1
x
2
+20x−16x−320=0
(x−16)(x+20)=0
x=16orx=−20
Hence the shopkeeper brought 16 books
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