Question

* Anirud brought some books for rupess 60 he
the brought 5 mose books for the same
amount each book would have cost him
I rupees less. Find the number of books
brought by the Anirud and also find the
price of each book​

Answer 1

Step-by-step explanation:

Let the number of books be = x.

Total cost of the books = Rs. 60.

∴ Cost of each book =Rs.x60

If the number of books is (x + 5), then the cost of each book = Rs. x+560

Difference in cost is one rupee = Cost of each book when number of books is (x) - Cost of each book when number of books is (x + 5)

x60−x+560=1

x(x+5)60(x+5)−60x=1

x2+5x60x+300−60x=1

x2+5x=300

x2+5x−300=0

x2+20x−15x−300=0

x(x+20)−15(x+20)=0

(x+20)(x−15)=0

x+20=0 or x−15=0

∴x=−20 or x=15

∴ Number of books = x = 15

Number of books cannot be negative. Hence, -20 is rejected.

∴ Cost of each book =x60=1560