Question

If the price of a book is reduced by Rs 5 a person can buy 5 more books for Rs 300. Find the original fist price of the book.​

Answer 1

Answer:

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

Original number of books purchased=

x

300

When the price of the book is reduced by 5

New Number of books purchased will be=

x−5

300

New number of books purchased-Original number of books purchased=5

∴

x−5

300

−

x

300

=5

⇒

x(x−5)

300x−300x+1500

=5

⇒x

2

−5x=300

⇒x

2

−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=20

the original cost of book is Rs 20.

Hope it helps and don't forget to mark me as brainliest answer and please if you can follow me as well.