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In an examination, 47% failed in English and 54% failed in Mathematics. Find the pass percentage in both the subjects if 31% failed in both the subjects?

Correct answer: D. 30%

  • A. 70%
  • B. 37%
  • C. 53%
  • D. 30%

Explanation

Using inclusion-exclusion, the percentage failing in at least one subject is 47% + 54% - 31% = 70%, because students failing both were counted twice. Therefore, the percentage passing both is 100% - 70% = 30%. The likely mistake is 70%, which is the percentage failing in at least one subject, not passing both.

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Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.

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