1. A positive number $x$ was increased by $69 \%$. By what percentage did the number $\sqrt{\frac{x}{5}}$ increase?
# Solution.

The increased number will be $1.69 x$, then from the proportion

$\sqrt{\frac{x}{5}}-100 \%$, we determine $y=\frac{1.3 \sqrt{\frac{x}{5}} \cdot 100}{\sqrt{\frac{x}{5}}}=130$ (\%), so the difference will be

equal to $30 \%$.

Answer: by $30 \%$.

Instructions. Only the answer - 0 points; the answer obtained for some specific $x$ (without justification of the approach's correctness) - 2 points; the square root found approximately, for example, using a calculator - 0 points.