Q. $A$ is greater than $B$ by $25\text{%}$ then by what percentage $B$ is less than $A$ ?
my approach:
$A$ is greater than $B$ by $25$% then
$${A-B\over B}\times 100=25$$
$$A=B+0.25B=1.25B$$
Now, $B$ is less than $A$ by %
$$\frac{A-B}{B}\times 100=\frac{1.25B-B}{B}\times100=25\text{%}$$
Is my answer correct? I don't know where I am wrong.
Help me solve this question. Thanks.
Best Answer
Your answer is not correct. You must take $\text{%}$ of B w.r.t. A as follows $$\frac{A-B}{A}\times 100=\frac{1.25B-B}{1.25B}\times 100=\frac{1}{5}\times 100=20\text{%}$$