A candidate who gets 20% marks in an examination fails by 30 marks but

1.	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%
Answer» (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%

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%

Answer»

(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%