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A shop keeper buys a number of books for...

A shop keeper buys a number of books for Rs.80. If he had bought 4 more books for the same amount, each book would have cost his Rs.1 less .How many books did he buy?

Text Solution

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Let `x` is the number of books that the shopkeeper purchased.
Then, price of each book ` = 80/x` Rs
If he had bought `4` more books, then each book would have cost `1` rs less.
So, he can buy `x+4` books in the same amount.
So the cost of each of the book would be `80/(x+4)`.
According to the question,
`80/x-80/(x+4)=1`
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