If the price of a book is reduced
by Rs 5
R:s a a person can buy 5 more
books for Rs 300 . Find the original price
of the book.
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If the price of a book is reduced
by Rs 5
R:s a a person can buy 5 more
books for Rs 300 . Find the original price
of the book.
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Answer:
Let the prize of one book be Rs. x
let the no. of books be y
so total amount spent = xy
300 =xy
now changed price of book = Rs. (x -5)
no. of books bought = y + 5
so total amount spent = (x - 5)(y + 5)
300 = xy +5x -5y -25
325 = 300 + 5(x - y)
25 = 5(x - y)
x - y = 5
y = x - 5
now putting this in xy = 300
(x - 5)x = 300
x2 -5x - 300 = 0
x2 -20x + 15x -300 = 0
(x - 20) ( x + 15) = 0
x = 20 or x = -15
Price of book cannot be negative so x is not equal to -15
so actual cost of book is x= Rs. 20
Step-by-step explanation...
hope this answer helps you....
NOW:
WE KNOW THAT:
PRICE = NO.OF BOOKS BOUGHT × REDUCED PRICE.
BUT XY=300:
PUT X VALUE IN XY=300:
SINCE WE CANT TAKE NEGATIVE VALUE
THEREFORE y = 15
PUT Y VALUE IN THE EQUATION 1:
Therefore,the original price of book = 20rs.
REDUCED ŔS.
Therefore,reduced price = 15rs.
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