shopkeeper buys a number of books for rupees 80 if he had bought 10 more books amount each book would have cost him RS. 1 less . how many bo

Question

shopkeeper buys a number of books for rupees 80 if he had bought 10 more books amount each book would have cost him RS. 1 less . how many books did he buy​

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Liliana 2 months 2021-12-03T07:03:50+00:00 1 Answer 0 views 0

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    2021-12-03T07:05:33+00:00

    Answer:

    Let he bought x books for rs 80

    So the cost of each book was 80/x

    If the cost of each books were re 1 less then he can buy 4 more books

    So, he can buy x+4 books

    So the cost of each of the book would be

    80/(x+4)

    According to the question,

    80/x-80/(x+4)=1

    (80x+320-80x)/(x^2 +4x)=1

    x^2+4x=320

    x^2+4x-320=0

    x^2+20x-16x-320=0

    x(x+20)-16(x+20)=0

    (x+20)(x-16)=0

    Therefore, x= -20, 16

    As x wouldnt be negative because quantity of book cant be negative so x=16

    So he bought 16 books

    Read more on Brainly.in – https://brainly.in/question/2190680#readmore

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