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

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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 \( \rm{Rs}\, 1,40,000\)