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In two successive years, 100 and 75 students of a school appeared at the final examination. Respectively 75 % and 60 % of them passed. The average rate of pass is:_________?

Correct answer: A. 68 4/7 %

  • A. 68 4/7 %
  • B. 78 %
  • C. 80 %
  • D. 80 4/7 %

Explanation

The first year had 100 students × 75% = 75 passes, and the second had 75 students × 60% = 45 passes. Thus 120 students passed out of 175, so the combined pass rate is 120/175 × 100% = 68 4/7%. A student may choose b, 78%, by taking the simple average of 75% and 60% without weighting the rates by the different numbers of students.

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