A shopkeeper buys a number of books for RS.80. If he had bought 4 more books for the same amount,each book would have cost rs.1 less. How many books did he buy?
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VarghesebijupbaxnsHelping Hand
Eq no 1:- total books purchased = x
Therefore unit price = 80/ x
Eq no 2:- 4 extra book purchased on same price = ×+4 =80
Therefore unit price = 80/(×+4)
Difference of price is Rs. 1
Hence 80/× - 80/(x-4) =1
By solving the equation
320/ (xpower2 + 4x)=0
Xpower2+4x-320=0
X(X+20) -16(X+20)=0
(X+20) (X-16)=0
X=-20, X=16
We negate negative answer
Therefore no of books brought =16
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