Question

A's salary is 25% above the salary of B's. Find how much percent B's salary less than A's salary

Answer 1

`20\%`

Step-by-step explanation

Let B's salary be x.

A's salary is 25% above B's salary. This means that A's salary is 25% more than B's salary. That is:

`\begin{gathered} A=((25)/(100)\cdot x)+x \\ A=0.25x+x \\ A=1.25x \end{gathered}`

To find the percentage of how much less B's salary is to A's, we have to find the difference in their salaries and divide it by A's salary and multiply by 100.

That is:

`\begin{gathered} (A-B)/(A)\cdot100 \\ \Rightarrow(1.25x-x)/(1.25x)\cdot100 \\ (0.25x)/(1.25x)\cdot100 \\ \Rightarrow20\% \end{gathered}`

Therefore, B's salary is 20% less than A's salary.