
Amit was given an increment of \[20\% \] on his salary. If his new salary is Rs. \[30,600\], what was his salary before the increment?
Answer
518.7k+ views
Hint: Here in this question, we have to find the salary of Amit before increment. To find this, take an initial salary as x and multiply this with the fraction of percentage of increment we get the increment in the salary and further equating the sum of initial salary and increment salary with the new salary of Amit on simplification we get the required solution.
Complete step-by-step solution:
Consider the data in given equation
Amit gets a salary increment of \[20\% \] on his salary.
Amit’s new salary is Rs. \[30,600\].
We have to find the salary of Amit before the increment.
Let us take the salary before increment = \[x\]
Now find the amount of increment in the salary i.e., \[20\% \] of \[x\]
\[ \Rightarrow \,\,\,20\% \times x\]
Write the percentage term i.e., \[20\% \] into the fraction.
\[ \Rightarrow \,\,\,\dfrac{{20}}{{100}} \times x\]
Divide both numerator and denominator by 20, then
\[ \Rightarrow \,\,\,\dfrac{1}{5} \times x\]
\[ \Rightarrow \,\,\,\dfrac{x}{5}\]
Given that, Amit’s new salary is Rs. \[30,600\] which equals the sum of his initial salary and amount of increment in the salary i.e.,
\[ \Rightarrow \,\,x + \dfrac{x}{5} = 30,600\]
Take 5 as LCM in LHS, then we have
\[ \Rightarrow \,\,\dfrac{{5x + x}}{5} = 30,600\]
\[ \Rightarrow \,\,\dfrac{{6x}}{5} = 30,600\]
Multiply both side by 5, then
\[ \Rightarrow \,\,6x = 30,600 \times 5\]
\[ \Rightarrow \,\,6x = 153000\]
Divide both side by 6, then
\[ \Rightarrow \,\,x = \dfrac{{153000}}{6}\]
On simplification, we get
\[\therefore \,\,x = 25,500\]
Therefore, the salary of Amit before increment is 25,500.
Note: Here the question is related to the percentage. By using the specific methods and rules we can convert the number. As we know that the percentage term is written as \[x\% = \dfrac{x}{{100}}\], here, marked x as the total value. Using the simple arithmetic operation i.e., multiplication and division to get the required solution.
Complete step-by-step solution:
Consider the data in given equation
Amit gets a salary increment of \[20\% \] on his salary.
Amit’s new salary is Rs. \[30,600\].
We have to find the salary of Amit before the increment.
Let us take the salary before increment = \[x\]
Now find the amount of increment in the salary i.e., \[20\% \] of \[x\]
\[ \Rightarrow \,\,\,20\% \times x\]
Write the percentage term i.e., \[20\% \] into the fraction.
\[ \Rightarrow \,\,\,\dfrac{{20}}{{100}} \times x\]
Divide both numerator and denominator by 20, then
\[ \Rightarrow \,\,\,\dfrac{1}{5} \times x\]
\[ \Rightarrow \,\,\,\dfrac{x}{5}\]
Given that, Amit’s new salary is Rs. \[30,600\] which equals the sum of his initial salary and amount of increment in the salary i.e.,
\[ \Rightarrow \,\,x + \dfrac{x}{5} = 30,600\]
Take 5 as LCM in LHS, then we have
\[ \Rightarrow \,\,\dfrac{{5x + x}}{5} = 30,600\]
\[ \Rightarrow \,\,\dfrac{{6x}}{5} = 30,600\]
Multiply both side by 5, then
\[ \Rightarrow \,\,6x = 30,600 \times 5\]
\[ \Rightarrow \,\,6x = 153000\]
Divide both side by 6, then
\[ \Rightarrow \,\,x = \dfrac{{153000}}{6}\]
On simplification, we get
\[\therefore \,\,x = 25,500\]
Therefore, the salary of Amit before increment is 25,500.
Note: Here the question is related to the percentage. By using the specific methods and rules we can convert the number. As we know that the percentage term is written as \[x\% = \dfrac{x}{{100}}\], here, marked x as the total value. Using the simple arithmetic operation i.e., multiplication and division to get the required solution.
Recently Updated Pages
Master Class 8 Social Science: Engaging Questions & Answers for Success

Master Class 8 English: Engaging Questions & Answers for Success

Class 8 Question and Answer - Your Ultimate Solutions Guide

Master Class 8 Maths: Engaging Questions & Answers for Success

Master Class 8 Science: Engaging Questions & Answers for Success

Master Class 9 General Knowledge: Engaging Questions & Answers for Success

Trending doubts
What is BLO What is the full form of BLO class 8 social science CBSE

Citizens of India can vote at the age of A 18 years class 8 social science CBSE

Full form of STD, ISD and PCO

Advantages and disadvantages of science

Right to vote is a AFundamental Right BFundamental class 8 social science CBSE

What are the 12 elements of nature class 8 chemistry CBSE

