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

Answer:

13.0 %  

Step-by-step 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.

Answer 2

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

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