Ratio between two numbers whose value is changed in a fixed proportion

62 Views Asked by At

I am sure this is obvious but I am trying to figure it out bottom-up and have hit a wall.

$A$ is a fixed part of $B$ where $\frac{A}{B} = 0.25$. A is reduced by $20\%$ so that $B$ is reduced by $5\%$. Now $\frac{A}{B}$ is $0.2105$. Is there any rule here which explains the change in the ratio of $\frac{A}{B}$ for any change in $A$?

Change in $A$ $\frac{A}{B}$
-10% 0.2307
-20% 0.2105
-30% 0.1891
-40% 0.166

thank you.