Two numbers are in the ratio $4 : 7$. What percentage is the smaller of the larger?

Two numbers are in the ratio $4 : 7$. What percentage is the smaller of the larger?
  1. $57\dfrac{1}{7}\%$
  2. $75\%$
  3. $70\%$
  4. $40\%$

Solution

Required percent $= \dfrac{4}{7} \times 100\% = \dfrac{400}{7}\% = 57\dfrac{1}{7}\%$.

Asked in: IMO

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