Question

Imran's salary is 15% more than amit's salary ,by what percentage is Amit's salary less than that of Imran's?

Answer 1

`p\%=(p)/(100)\\\\15\%=(15)/(100)=0.15\\\\a-Amit's\ salary\\\\a+0.15a=1.15a-Irman's\ salary\\\\Difference:\\\\1.15a-a=0.15a\\\\\begin{array}{ccc}1.15a&-&100\%\\0.15a&-&p\%\end{array}\qquad\text{cross multiply}\\\\1.15ap=(100)(0.15a)\\\\1.15ap=15a\qquad\text{divide both sides by}\ 1.15a\\\\p=(15a)/(1.15a)\\\\p=(1500)/(115)\\\\\boxed{p\approx13}`

`Answer:\ \boxed{\text{Amit's salary is 13.0\% less than Irman's salary.}}`

Answer 2

13.0 %

Explanation:

Let x = Amit's salary

Then 1.15x = Imran's salary

Difference = 1.15x – x = 0.15x

% Difference = Salary difference/Imran's salary × 100 %

% Difference = 0.15x/1.15x × 100 %

% Difference = 13.0 %

Amit's salary is 13.0 % less than that of Imran.