A person can buy 15 books less for Rs.900 when the price of each book goes up Rs. 3. Find the original price and the no. of copies he could buy at the initial price.
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Let the number of books bought initially be x.
So, original price of the book is 900/x.
Now, the price of the book goes up by Rs.3.
Therefore, price of each book now is 900/x+3
and the number of books brought is reduced by 15===> x-15
Since Amount spent now is also 900 so,
(900/x+3)(x-15)= 900
(900+3x)(x-15) = 900
3x^2+855x-13500= 900
After solving it, We get x= 75 or -60
Now, x cannot be negative
so x= 75
Therefore, original price of book is 900/75 = RS.12
Hope it helps..! ^-^
So, original price of the book is 900/x.
Now, the price of the book goes up by Rs.3.
Therefore, price of each book now is 900/x+3
and the number of books brought is reduced by 15===> x-15
Since Amount spent now is also 900 so,
(900/x+3)(x-15)= 900
(900+3x)(x-15) = 900
3x^2+855x-13500= 900
After solving it, We get x= 75 or -60
Now, x cannot be negative
so x= 75
Therefore, original price of book is 900/75 = RS.12
Hope it helps..! ^-^
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A person can buy 15 books less for Rs.900 when the price of each book goes up Rs. 3. Find the original price and the no. of copies he could buy at the initial price.
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