In an examination, a student must obtain $40\%$ to pass. He gets $178$ marks and fails by $22$ marks. The…

In an examination, a student must obtain $40\%$ to pass. He gets $178$ marks and fails by $22$ marks. The maximum marks are
  1. $400$
  2. $450$
  3. $500$
  4. $550$

Solution

Pass marks $= 178 + 22 = 200$. If $M$ is max marks, $\dfrac{40}{100} M = 200 \Rightarrow M = 500$.

Asked in: IMO

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