A shopkeeper buys a handbook for 80 rupees if he had bought more books same amount each book would have cost 1 rupees less find number of books
Answers
Answered by
5
Answer:
16 books
Explanation:
Given in the question that,
total amount of books bought by the shopkeeper = 80 rupees
Suppose number of books bought by the shop keeper = x
So the cost of each book = 80/x
If the cost of each books were re 1 less then he can buy 4 more books
So, number of books shop keeper can buy = x + 4
The cost of each of the book would be 80/(x+4)
Equation
80/x - 80/(x+4) = 1
Take LCM
(80x+320-80x) / (x² +4x) = 1
x²+ 4x = 320
x² + 4x - 320 = 0
x² + 20x -16x - 320 = 0
x(x+20) -16 (x+20) = 0
(x+20)(x-16)=0
x= -20, x =16
As number of books can not be negative so we will reject x = -20
So shopkeeper bought x = 16 books
Answered by
3
Answer:
16 books
hope it helps
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