If $25\%$ of $x$ equals $0.75$ times $y$, then $x : y$ is

If $25\%$ of $x$ equals $0.75$ times $y$, then $x : y$ is
  1. $1 : 3$
  2. $3 : 1$
  3. $1 : 4$
  4. $4 : 3$

Solution

$0.25 x = 0.75 y \Rightarrow x = 3 y \Rightarrow x : y = 3 : 1$.

Asked in: IMO

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