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?

Let the original list price of the book be = Rs x

Original number of books purchased = 300/x

When the price of the book is reduced by 5

New no.of books purchased will be = 300/x-5

New no.of books purchased-original no.of books purchased = 5

300/x-5 – 300/x = 5

300x-300x+1500/x(x-5) = 5

x<sup>2</sup>-5x=300

x<sup>2</sup>-20x+15x-300=0

x(x-20)+15(x-20)=0

(x-20(x+15)=0

x-20=0 or x+15=0

x=20 or x = -15

x=20

Therefore, the original cost of book is Rs 20.

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