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A student who secures 20 % marks in an examination fails by 30 marks. Another student who secures 32 % marks gets 42 marks more than those required to pass. The percentage of marks required to pass is:________?

Correct answer: B. 25 %

  • A. 20%
  • B. 25 %
  • C. 28%
  • D. 30%

Explanation

The difference between the two students' scores is 32% - 20% = 12% of the total marks, and this difference is 30 + 42 = 72 marks. Therefore, 12% of the total is 72, so total marks = 72 / 0.12 = 600; the passing marks are 20% of 600 + 30 = 150, which is 25%. Option a overlooks the 30 marks by which the first student failed.

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About Percentages

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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