# Ex.8.2 Q1 Comparing Quantities Solutions - NCERT MATHS CLASS 8

## Question

A man got a $$10\%$$ increase in his salary. If his new salary is $$\rm{Rs}\, 1,54,000$$, find his original salary.

Video Solution
Comparing Quantities
Ex 8.2 | Question 1

## Text Solution

What is known?

Percentage of increase in salary $$= 10\%$$

New Salary $$=\rm{ Rs}\, 1,54,000$$

What is unknown?

Original Salary

Reasoning:

Whole is considered as $$100\%$$. Percentage increase is $$10\%$$. So, the new salary is original salary plus $$10\%$$of original salary

Steps:

Let the original salary be $$x$$

Percentage increase is $$10\%$$

Therefore, Original salary $$+$$ Increment in salary $$=$$ New salary

\begin{align}x + 10\% \times x &= 154000\\x + \frac{{10}}{{100}} \times x & = 154000\\ \frac{{{110}}}{{{100}}}{\times}x&=154000\\x&=\frac{{{154000\times100}}}{{{40}}}\\&=140000\end{align}

Original salary is $$\rm{Rs}\, 1,40,000$$