Let the aircrafts fuel weight be ‘f’ and aircraft structural weight be ‘s’.The jet aircraft’s range is proportional to

$\sqrt{s+f}-\sqrt{s}$

Therefore fractional reduction in range is

$\frac{\sqrt{s+f}-\sqrt{s+0.9f}}{\sqrt{s+f}-\sqrt{s}}$

If  $f/s\sim 1$

$\frac{\Delta R}{R}=\frac{\sqrt{2}-\sqrt{1.9f}}{\sqrt{2}-\sqrt{1}} \\=8.6 \%$

If $f/s<<1$ using binomial expansion  we find that  $\frac{\Delta R}{R}$ converges to 10 %.

For propeller aircraft the range is proportional to $ln\left ( 1+\frac{f}{w} \right )$

$\frac{\Delta R}{R}=\frac{ln\left ( \frac{s+f}{s+0.9f} \right )}{ln\left ( \frac{s+f}{s} \right )}$

If $f/s\sim 1$ then reduction in range will be 7.4 %

If $f/s\sim 0$ using series expansion for logarithm this converges to 10 %.

Therefore we see that in all these cases reduction in range is less than 10 %.