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Ramesh started work in 2010 with an annual salary of ₹6000 and received an increment of ₹300 each year. In which year did his income reach ₹9000?
- a)2020
- b)2023
- c)2009
- d)2021
Correct answer is option 'A'. Can you explain this answer?
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Ramesh started work in 2010 with an annual salary of 6000 and received...
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Ramesh started work in 2010 with an annual salary of 6000 and received...
Understanding Ramesh's Salary Increment
Ramesh began his career in 2010 with an annual salary of 6000. Each subsequent year, he received an increment of 300. To find out when his salary reached 9000, we need to calculate the yearly salary incrementally.
Starting Salary and Increment
- Starting Year: 2010
- Starting Salary: 6000
- Annual Increment: 300
Calculating Salary Over the Years
We can express Ramesh's salary in any given year using the formula:
- Salary in Year n = Starting Salary + (Increment * Number of Years Passed)
Since Ramesh started in 2010, we can denote the year by subtracting 2010 from the current year to find the number of years passed.
Finding the Year When Salary Reaches 9000
Set the equation for his salary to equal 9000:
- 6000 + (300 * Number of Years Passed) = 9000
Solving for Number of Years Passed
1. Subtract 6000 from both sides:
- (300 * Number of Years Passed) = 3000
2. Divide both sides by 300:
- Number of Years Passed = 10
This means Ramesh's salary will reach 9000 ten years after he started in 2010.
Calculating the Final Year
- 2010 + 10 years = 2020
Thus, Ramesh’s income reached 9000 in the year 2020.
Conclusion
The correct answer is option 'A': 2020.
Ramesh began his career in 2010 with an annual salary of 6000. Each subsequent year, he received an increment of 300. To find out when his salary reached 9000, we need to calculate the yearly salary incrementally.
Starting Salary and Increment
- Starting Year: 2010
- Starting Salary: 6000
- Annual Increment: 300
Calculating Salary Over the Years
We can express Ramesh's salary in any given year using the formula:
- Salary in Year n = Starting Salary + (Increment * Number of Years Passed)
Since Ramesh started in 2010, we can denote the year by subtracting 2010 from the current year to find the number of years passed.
Finding the Year When Salary Reaches 9000
Set the equation for his salary to equal 9000:
- 6000 + (300 * Number of Years Passed) = 9000
Solving for Number of Years Passed
1. Subtract 6000 from both sides:
- (300 * Number of Years Passed) = 3000
2. Divide both sides by 300:
- Number of Years Passed = 10
This means Ramesh's salary will reach 9000 ten years after he started in 2010.
Calculating the Final Year
- 2010 + 10 years = 2020
Thus, Ramesh’s income reached 9000 in the year 2020.
Conclusion
The correct answer is option 'A': 2020.
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Ramesh started work in 2010 with an annual salary of 6000 and received an increment of 300 each year. In which year did his income reach 9000?a)2020b)2023c)2009d)2021Correct answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Ramesh started work in 2010 with an annual salary of 6000 and received an increment of 300 each year. In which year did his income reach 9000?a)2020b)2023c)2009d)2021Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ramesh started work in 2010 with an annual salary of 6000 and received an increment of 300 each year. In which year did his income reach 9000?a)2020b)2023c)2009d)2021Correct answer is option 'A'. Can you explain this answer?.
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