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The salary of the clerk is increased by 30%. By what percent must the increased salary be decreased in order to restore it to the former amount?
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The salary of the clerk is increased by 30%. By what percent must the ...
To determine the percentage decrease required to restore the increased salary of a clerk back to its original amount after a 30% increase, follow these steps:
Understanding the Salary Increase
- Let the original salary be represented as S.
- After a 30% increase, the new salary becomes:
Calculating the Required Decrease
- To find out by what percentage the increased salary (1.30S) must be decreased to return to the original salary (S), we set up the equation:
- Simplifying the equation gives:
Solving for x
- Rearranging the equation:
- Multiplying both sides by 100 and dividing by 1.30:
Conclusion
- Therefore, to restore the salary back to its original amount after a 30% increase, it must be decreased by approximately 23.08%.
Understanding the Salary Increase
- Let the original salary be represented as S.
- After a 30% increase, the new salary becomes:
- Increased Salary = S + (30/100) * S = S * (1 + 0.30) = 1.30S
Calculating the Required Decrease
- To find out by what percentage the increased salary (1.30S) must be decreased to return to the original salary (S), we set up the equation:
- Let the required decrease percentage be x.
- Decreased Salary = Increased Salary - (x/100) * Increased Salary
- S = 1.30S - (x/100) * 1.30S
- Simplifying the equation gives:
- S = 1.30S * (1 - x/100)
- 1 = 1.30 * (1 - x/100)
Solving for x
- Rearranging the equation:
- 1 = 1.30 - 1.30x/100
- 1.30x/100 = 1.30 - 1
- 1.30x/100 = 0.30
- Multiplying both sides by 100 and dividing by 1.30:
- x = (0.30 * 100) / 1.30
- x ≈ 23.08
Conclusion
- Therefore, to restore the salary back to its original amount after a 30% increase, it must be decreased by approximately 23.08%.
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The salary of the clerk is increased by 30%. By what percent must the increased salary be decreased in order to restore it to the former amount?
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The salary of the clerk is increased by 30%. By what percent must the increased salary be decreased in order to restore it to the former amount? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The salary of the clerk is increased by 30%. By what percent must the increased salary be decreased in order to restore it to the former amount? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The salary of the clerk is increased by 30%. By what percent must the increased salary be decreased in order to restore it to the former amount?.
The salary of the clerk is increased by 30%. By what percent must the increased salary be decreased in order to restore it to the former amount? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The salary of the clerk is increased by 30%. By what percent must the increased salary be decreased in order to restore it to the former amount? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The salary of the clerk is increased by 30%. By what percent must the increased salary be decreased in order to restore it to the former amount?.
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