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Question

# If the list price of a book is reduced by Rs 5, a person can buy 5 more books for Rs 300. Then the original cost of the book is

A
Rs 15
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B
Rs 20
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C
Rs 25
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D
Rs 30
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Solution

## The correct option is C Rs 20Let the original list price of the book be=Rs xOriginal number of books purchased=300xWhen the price of the book is reduced by 5New Number of books purchased will be=300x−5New number of books purchased-Original number of books purchased=5∴300x−5−300x=5⇒300x−300x+1500x(x−5)=5⇒x2−5x=300 ⇒x2−20x+15x−300=0 ⇒x(x−20)+15(x−20)=0 ⇒(x−20)(x+15)=0 ⇒x−20=0orx+15=0⇒x=20orx=−15 ∴x=20the original cost of book is Rs 20

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