Question

Arun bought some books for Rs. 60. Had he bought 5 more books for the same
amount each book would have cost him one rupee less. Find the number of
books bought by Arun and the price of each book.
​

Answer 1

Answer:

coast of one book = 60\5 =12

Answer 2

The number of books bought by Arun=15

Price  of each book=Rs 4

Step-by-step explanation:

Let x be the number of books bought by Arun

C.P of x books=Rs 60

C.P of 1 book=$\frac{60}{x}$

According to question

Number of books=x+5

C.P of (x+5) books=Rs 60

C.P of 1 book=$\frac{60}{x+5}$

$\frac{60}{x+5}=\frac{60}{x}-1$

$1=\frac{60}{x}-\frac{6}{x+5}$

$1=\frac{60(x+5)-60x}{x(x+5)}$

$x(x+5)=60x+300-60x=300$

$x^2+5x-300=0$

$x^2+20x-15x-300=0$

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

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

$x+20=0$

$x=-20$

It is not possible because the number of books is always a positive number.

$x-15=0$

$x=15$

Number of books bought by Arun=15

Price of each book=$\frac{60}{15}=Rs 4$

#Learns more:

https://brainly.in/question/3138728:Answered by Galax