Question

A man got $10\%$ increase in his salary. If his new salary is $Rs1,54,000$, find his original salary.

Answer 1

Let original salary be $Rsx$

According to the question, we have

Original salary $+10\%$ increase $=$ New salary

$\Rightarrow x+10\%$ of $x=Rs1,54,000$

$\Rightarrow x+\frac{10}{100}x=1,54,000$

$\Rightarrow \frac{10x+x}{10}=1,54,000$

$\Rightarrow \frac{11x}{10}=1,54,000$

$\Rightarrow 10\times \frac{110x}{10}=10\times 1,54,000$

$\Rightarrow 11x=1,54,00,00$

$\Rightarrow \frac{11x}{11}=\frac{1,54,00,00}{11}$

$\Rightarrow x=Rs1,40,000$

Hence his original salary is $Rs1,40,000$