$$a \propto \frac{1}{b}$$
If $a$ increases by 10%, how would one work out the percentage change of $b$, without knowing the value of either variable?
$$a \propto \frac{1}{b}$$
If $a$ increases by 10%, how would one work out the percentage change of $b$, without knowing the value of either variable?
Inverse proportion means: $a\cdot b=k$.
Hence: $$1.1a\cdot \frac{1}{1.1}b=k \Rightarrow \frac{1}{1.1}-1=-\frac{1}{11}.$$