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Quantitative Aptitude :: Percentage Problems And Answers

33. Arun got 30% of the maximum marks in an examination and failed by 10 marks. However, Sujith who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination?
A. 90 B. 250
C. 85 D. 75
Answer & Explanation

Answer: Option C

Explanation:
Let x is the maximum marks of the examination
Marks that Arun got = 30 % of x = 30x/100
Given that Arun failed by 10 marks
⇒Minimum Pass Mark = 30x/100 + 10......(Equation 1)
Marks that Sujith got = 40 % of x = 40x/100
Given that Sujith got 15 marks more than the passing marks
⇒40x100=Minimum Pass Mark +15
⇒Minimum Pass Mark =40 x100 −15......(Equation 2)
From equations 1 and 2, we have
30 x 100 + 10 = 40x/100 − 15
⇒10x/100 = 10 + 15 = 25
⇒x/10 = 25
⇒ x = 10 × 25 = 250
⇒Maximum marks of the examination = x = 250
Substituting the value of x in Equation 1, we have
Minimum Pass Mark = 30x/100 + 10 = 30 × 250/100 + 10 = 75 + 10 = 85
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