Find Out the Pass Percentage in the Exam. If

A candidate who gets 20% marks in an examination fails by 30 marks. But if he gets 32% marks, he gets 42 marks more than the minimum pass marks. Find the pass percentage of marks.

  1. 25%
  2. 12%
  3. 52%
  4. 20%
Monis Rasool Professor Asked on 21st November 2015 in Maths.
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  • 2 Answer(s)

    Answer : (1) 25%

    sujeetstar24 Newbie Answered on 21st November 2015.
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    Answer: (1) 25%

    Explanation:-
    Let the total marks of an examination = X

    According to the question,
    X x 20/100 + 30 = X x 32/100 – 42
    X/5 + 30 = 8 X/25 – 42
    (X + 30 x 5)/5 = (8 X – 42 x 25)/25
    X + 150 = (8 X – 1050)/5
    5 X + 750 = 8 X – 1050
    8 X – 5 X = 1050 + 750
    3 X = 1800
    X = 1800/3
    X = 600

    Then, the total marks of an exam = 600

    20% of 600 = 600 x 20/100
    = 120
    The minimum passing marks = 120 + 30
    = 150
    Then, the pass percentage of marks = 150 x 100/600
    = 150/6
    = 25%

    Hence, the answer is (1) 25%.

    Anurag Mishra Professor Answered on 22nd November 2015.
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