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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Solution

Let the number of books purchased for Rs.80 = x
Then cost of each books = 80/x
If he buys for more books, the number of books = x+4
Cost of each book = 80/x+4
(80/x)-[80/(x+4)]=1
Solve x=-20 and x = 16
Rejecting x = -20
The number of books purchased = 16

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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?

Let the number of books purchased for Rs.80 = x Then cost of each books = 80/x If he buys for more books, the number of books = x+4 Cost of each book = 80/x+4 (80/x)-[80/(x+4)]=1 Solve x=-20 and x = 16 Rejecting x = -20 The number of books purchased = 16

Let the number of books purchased for Rs.80 = x
Then cost of each books = 80/x
If he buys for more books, the number of books = x+4
Cost of each book = 80/x+4
(80/x)-[80/(x+4)]=1
Solve x=-20 and x = 16
Rejecting x = -20
The number of books purchased = 16