A candidate who gets 20 marks fails by 10 marks but another candidate who gets 42 marks gets 12 more...........

Quant (SSC) Percentage

A candidate who gets 20% marks fails by 10 marks but another candidate who gets 42% marks gets 12% more than the passing marks. Find the maximum marks.

150

100

250

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Explanation:

Let the maximum marks be x.
Putting the given info in th eq. form, we get pass marks = (20% of x) + 10 = (42% of x) – (12% of x)
⇒ (20% of x) + 10 = (30% of x)
⇒ (30% of x) – (20% of x) = 10
⇒ 10% of x = 10
∴ x = 100 marks