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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