Question:
Ankit was given an increment of 10% on his salary. His new salary is Rs 3575. What was his salary before increment?
Solution:
Let the initial salary be Rs $x$.
We know that:
Salary before increment $+$ increment given on salary $=$ new salary
$\therefore x+10 \%$ of $x=3575$
$\Rightarrow x+\frac{10}{100} x=3575$
$\Rightarrow 100 x+10 x=357500$
$\Rightarrow 110 x=357500$
$\Rightarrow x=\frac{357500}{110}$
$\Rightarrow x=3250$
$\therefore$ Salary before increment $=$ Rs 3,250