Question

if the price of a book is reduced by rupees 5, a person can buy 5 more books for rupees 300. find the original list price of a book.​

Answer 1

Answer:

Step-by-step explanation:

let the original price of book = x

a.t.q.

price of book reduced = 5 rupees

one  can buy 5 more in 300

it means divide 300 by 5 to get price of one book

answer is 60

now add the reduced five rupees in it

you will get 65 which is the original price of the book

Answer 2

Answer:

Step-by-step explanation:

Solution :-

Let the original price of one book be Rs. x

Number of books brought at Rs. 300 = 300/x

Reduced Price = x - 5

Number of books brought at reduced price = 300/x - 5

According to the Question,

⇒ 300/(x - 5) - 300/x = 5

⇒ 300x + 1500 - 300x/x(x - 5) = 5

⇒ 1500/x² - 5x = 5

⇒ x² - 5x = 300

⇒ x² - 5x - 300 = 0

⇒ x² - 20x + 15x - 300 = 0

⇒ (x - 20) (x + 15) = 0

⇒ x = 20, - 15 (As x can't be negative)

⇒ x = 20

Hence, the original list price of a book. is Rs. 20.