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A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing?

Correct answer: B. 200

  • A. 150
  • B. 200
  • C. 250
  • D. 275

Explanation

Let the total marks be M and passing marks be P. The two statements give 0.30M = P - 50 marks and 0.45M = P + 25 marks; subtracting gives 0.15M = 75 marks, so M = 500 marks and P = 0.30 x 500 + 50 = 200 marks. The likely mistake is 150 marks, which is the first candidate's score rather than the passing marks.

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