# 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.

## 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}\]

**Answer:**

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