* Anirud brought some books for rupess 60 hethe brought 5 mose books for the sameamount each book would have cost himI rupees less. Find the number of booksbrought by the Anirud and also find theprice of each book About the author Ruby
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 Reply
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