Ethnicity

Share of ethnicity XY is 26%, which is 1/9 more than in the prewar period.

What was the share of that ethnicity in the pre-war period?

Correct result:

p =  23.4 %

Solution:

$$\begin{gathered} 26\mathrm{/}100\cdot x=(1+1\mathrm{/}9)p\mathrm{/}100\cdot x \\ 26=(1+1\mathrm{/}9)p \\ p={\displaystyle \frac{26}{1+1\mathrm{/}9}} \\ p=23.4\mathrm{\%} \end{gathered}$$

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