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 mark is
A
52%
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B
50%
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C
33%
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D
25%
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Solution
The correct option is D25% Let the maximum marks be M
Then Pass marks =20% of M+30=32% of M−42 ⇒12% of M=72
⇒M=72×10012=600 ∴ Pass marks =20% of 600+30=600×20100+30=150 ∴ Percentage of pass marks =150600×100%=25%