If the price of a book is reduced by rs 2, a boy can buy 2 books more with the amount he has. But if the price is increased by Rs 3, he could buy 2 books less with the same amount. Find the actual price of the book and the amount he has.
Answers
Given : price of the book Is reduced by 2, a boy can buy 2 books more with the amount he has. But if the price is increased by 3 he could buy 2 books less with the same amount.
To find : the actual price of the book and the amount he has
Solution:
Let say Cost of Book = C
Number of bbok he can buy = B
Amount he had = BC
price of a book is reduced by rs 2, a boy can buy 2 books more with the amount he has
(C - 2) (B + 2) = BC
=> BC +2C - 2B - 4 = BC
=> C = B + 2
he price is increased by Rs 3, he could buy 2 books less with the same amount
(C + 3) ( B - 2) = BC
=> BC +3B - 2C - 6 = BC
=> 2C = 3B - 6
Substitute C = B + 2
=> 2(B + 2) = 3B - 6
=> 2B + 4 = 3B - 6
=> B = 10
C = 10 + 2 = 12
BC = 120
Actual price of the book = 12
Amount he had = 120
Learn more:
by increasing the list of a book by rupees 10 a person can buy 10 ...
https://brainly.in/question/11397359
the cost of some books is rupees 60. cost of every book is the same ...
https://brainly.in/question/7810778