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A shopkeeper buys a number of books for Rs8000.If he had bought 40 more books for the same amount, each book would have cost Rs10less.How many books did he buy?

Posted by Vishal Roy 8 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Bindu Agarwal 8 years, 10 months ago

Let the number of books be x

Therefore cost of each book = 8000/x

When he bought 40 more books with the same amount

Therefore then the total books is x+40

Therefore cost of each book would be = 8000/(40+x)

It is Rs. 10 less than the previous cost of each book

Therefore:-

8000/x - 8000(40+x) = 10

$\Rightarrow 8000 (\frac{1}{x} - \frac{1}{x + 40}) = 10 \Rightarrow S o l v i n g t h i s w e g e t : - x^{2} + 40 x - 32000 = 0 H e n c e B y t h i s w e g e t x = 160$

Therefore Totsl no. of books he bought is 160

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