If the price of a book is reduced by 5, a person can buy 4 more books for
600. Find the original price of the book.
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8th
Maths
Comparing Quantities
Finding Discount and Discount Percentage
If the price of a book is r...
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If the price of a book is reduced by Rs 5 a person can buy 5 more books for Rs 300. Find the original list price of the book.
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ANSWER
Let the original list price of the book be Rs. x
Number of books bought for Rs.300=
x
300
Reduced list price of the book =Rs.(x−5)
Number of books bought for Rs.300=
x−5
300
it is given that
x−5
300
−
x
300
=5
⇒
x(x−5)
300x−300x+1500
=5⇒
x
2
−5x
1500
=5
⇒x
2
−5x=300⇒x
2
−5x−300=0⇒x
2
−20x+15x−300=0
⇒(x−20)(x+15)=0⇒x=20orx=−15⇒x=20
hence, the list price of the book =Rs.20
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