Question

If the price of a book is reduced by Rs.5 , Five more books can be purchased for Rs. 300. find the original price of the book?​

Answer 1

Answer:Rs.20

Step-by-step explanation: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

Answer 2

let the price of book is= x

five book more than =(x + 5)

reduce price =5

books purchase price =300

total price =305

(x + 5)=305

x =305/5

x =61