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Akash Debbarma who got 30% marks in an examination failed by 50 marks. Rohan Deb who got 320 marks failed by 30 marks. What is the maximum marks in the examination ?

  • A.1000
  • B.1200
  • C.900
  • D.None of these.

Answer: A

The maximum marks are 1000.

Rohan's score tells us the pass mark: he got 320 and fell 30 short, so the pass mark is 350. Akash got 30% of the maximum M and fell 50 short of the same pass mark:

\[ \begin{aligned} 0.30M + 50 &= 350 \\ 0.30M &= 300 \\ M &= 1000 \end{aligned} \]

Check: 30% of 1000 is 300, which is 50 below 350. With 1200 or 900 the two candidates' figures would give different pass marks, so they cannot be right.

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