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.

Explain it step-by-step ..
Please ❣️❣️​

Answer 1

Answer:

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}x60

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}x+560

\frac{60}{x+5}=\frac{60}{x}-1x+560=x60−1

1=\frac{60}{x}-\frac{6}{x+5}1=x60−x+56

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

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

x^2+5x-300=0x2+5x−300=0

x^2+20x-15x-300=0x2+20x−15x−300=0

x(x+20)-15(x+20)=0x(x+20)−15(x+20)=0

(x+20)(x-15)=0(x+20)(x−15)=0

x+20=0x+20=0

x=-20x=−20

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

x-15=0x−15=0

x=15x=15

Number of books bought by Arun=15

Price of each book=\frac{60}{15}=Rs 41560=Rs4

Answer 2

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