A book seller increased the price of the book by Rs 2 thereby a retailer could buy 2 books less for Rs 168. Represent the problem in the form of a quadratic equation, if we have to find the original price of the book.
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Answer:
Step-by-step explanation:
Let the price of book be Rs x.
Number of books bought Rs. 168.
= 168/x
When the list price of the book is increased by Rs. 2, then
New list price of book = Rs (x + 2)
Number of books bought for Rs. 168.
= 168/x+2
Given, when the list price of the book is increased by Rs. 2, then the person can buy 2 less books.
∴ 168/x - 168/x+2 = 2
=> 168(x+2) - 168x/x(x+2) = 2
=> 168x + 336 - 168x/x²+2x = 2
=> 336 = 2(x²+2x)
=> 336 = 2x²+4x
=> 2x²+4x-336 = 0
=> 2(x²+2x-168) = 0
(Taking 2 common)
Thus, 2(x²+2x-168) is the required quadratic equation.
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