If $20\%$ of $A = 30\%$ of $B$, then $A : B$ equals

If $20\%$ of $A = 30\%$ of $B$, then $A : B$ equals
  1. $2 : 3$
  2. $3 : 2$
  3. $5 : 6$
  4. $6 : 5$

Solution

$\dfrac{20A}{100} = \dfrac{30B}{100} \Rightarrow 20A = 30B \Rightarrow \dfrac{A}{B} = \dfrac{30}{20} = \dfrac{3}{2}$.

Asked in: IMO

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