A shop keeper bought a certain number of copies of the same book from a wholesale dealer. If he buys 4 more books, then the price of each book is reduced to 1 rupee. If he buys 5 books less then the price of each book will increase by 2 rupees. Find the number of books he buys initially and the cost of each book.
Answers
Given : A shop keeper bought a certain number of copies of the same book from a wholesale dealer. If he buys 4 more books, then the price of each book is reduced to 1 rupee. If he buys 5 books less then the price of each book will increase by 2 rupees.
To Find : the number of books he buys initially and the cost of each book.
Solution:
Books Bought = B
Price per book = P
Total Cost = B * P = BP
buys 4 more books, then the price of each book is reduced to 1 rupee.
=> ( B + 4) (P - 1) = BP
=> BP + 4P - B - 4 = BP
=> 4P - B = 4
buys 5 books less then the price of each book will increase by 2 rupees
=> ( B - 5) ( P + 2) = BP
=> BP - 5P + 2B - 10 = BO
=> -5P + 2B = 10
4P - B = 4
-5P + 2B = 10
on solving :
P = 6 and B = 20
Books Bought = 20
Cost per book = 6
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