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A candidate who gets 20% marks in an examination fails by 30 marks but another candidate who gets 32%, gets 42 marks more than the pass marks. The percentage of pass marks is 

(a) 52% 

(b) 50% 

(c) 33% 

(d) 25%

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(d) 25%

Let the maximum marks be M. Then, Pass marks = 20% of M + 30 = 32% of M – 42

\(\Rightarrow\) 12% of M = 72  \(\Rightarrow\) M = \(\frac{72\times100}{12}\) = 600

\(\therefore\) Pass marks = 20% of 600 + 30 = 150

\(\Rightarrow\) Percentage of pass marks = \(\frac{150}{600}\) x 100%

= 25%

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