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Aftab bought 65 books for Rs.1150 from one shop and 50 books for Rs.920 from another. What is the average price he paid per book ?

Correct answer: B. Rs.18

  • A. Rs.20
  • B. Rs.18
  • C. Rs.22
  • D. Rs.16

Explanation

The total cost is 1150 rupees + 920 rupees = 2070 rupees, and the total number of books is 65 books + 50 books = 115 books. Therefore, the average price is 2070 rupees / 115 books = 18 rupees per book. A student may choose 20 rupees per book by averaging the two shop prices without weighting them by the numbers of books bought.

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An average represents the total of a set of values divided by the number of values, and a weighted average gives different importance to different groups. Problems involve missing values, combined averages, replacement of observations, and changes in the average, so the total and count must be tracked separately.

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