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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?

Correct answer: A. 10

  • A. 10
  • B. 8
  • C. 15
  • D. 7.50

Explanation

Let the price of one notebook be p rupees, so the number bought is 300/p. The condition gives (p + 5)(300/p - 10) = 300, which simplifies to p² + 5p - 150 = 0, or (p + 15)(p - 10) = 0; the positive price is p = 10 rupees. The likely mistake is choosing b, which does not satisfy the original buying condition.

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