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  • Question
  • A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook ?


  • Options
  • A. 15
  • B. 20
  • C. 10
  • D. 8

  • Correct Answer
  • 10 

    Explanation

    Let the price of each note book be Rs.x.

    Let the number of note books which can be brought for Rs.300 each at a price of Rs.x be y.

    Hence xy = 300

    => y = 300/x

    (x + 5)(y - 10) = 300 => xy + 5y - 10x - 50 = xy

    =>5(300/x) - 10x - 50 = 0 => - 150 + x 2 + 5 x

    multiplying both sides by -1/10x

    => x 2 + 15 x - 10 x - 150 = 0

    => x(x + 15) - 10(x + 15) = 0

    => x = 10 or -15

    As x>0, x = 10.

  • Tags: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk

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