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The strength of a school increase and decrease every alternate year by 20%. it started with an increase in the year 2025 and the initial strength was 3000. find the strength of the school in the year 2017 and also the percentage of increase in strength, respectively.?
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The strength of a school increase and decrease every alternate year by...
Calculating the Strength of the School in 2017:
To find the strength of the school in 2017, we need to work our way backwards from the given starting point in 2025. Since the strength of the school increases and decreases by 20% every alternate year, we can calculate the strength at different time points.
- In 2025, the strength of the school was 3000.
- In 2023, the strength would be 20% less than in 2025, which is 2400.
- In 2021, the strength would be 20% more than in 2023, which is 2880.
- In 2019, the strength would be 20% less than in 2021, which is 2304.
- In 2017, the strength would be 20% more than in 2019.
Therefore, the strength of the school in 2017 would be 2304 + (0.2 * 2304) = 2764.8, which we can round off to 2765.
Calculating the Percentage Increase in Strength:
To calculate the percentage increase in strength from 2017 to 2025, we can use the formula:
Percentage Increase = ((Final Value - Initial Value) / Initial Value) * 100
- Initial Value (2017) = 2765
- Final Value (2025) = 3000
Therefore, the percentage increase in strength from 2017 to 2025 would be:
((3000 - 2765) / 2765) * 100 = (235 / 2765) * 100 ≈ 8.5%
Hence, the strength of the school in 2017 would be 2765, and the percentage increase in strength from 2017 to 2025 would be approximately 8.5%.
To find the strength of the school in 2017, we need to work our way backwards from the given starting point in 2025. Since the strength of the school increases and decreases by 20% every alternate year, we can calculate the strength at different time points.
- In 2025, the strength of the school was 3000.
- In 2023, the strength would be 20% less than in 2025, which is 2400.
- In 2021, the strength would be 20% more than in 2023, which is 2880.
- In 2019, the strength would be 20% less than in 2021, which is 2304.
- In 2017, the strength would be 20% more than in 2019.
Therefore, the strength of the school in 2017 would be 2304 + (0.2 * 2304) = 2764.8, which we can round off to 2765.
Calculating the Percentage Increase in Strength:
To calculate the percentage increase in strength from 2017 to 2025, we can use the formula:
Percentage Increase = ((Final Value - Initial Value) / Initial Value) * 100
- Initial Value (2017) = 2765
- Final Value (2025) = 3000
Therefore, the percentage increase in strength from 2017 to 2025 would be:
((3000 - 2765) / 2765) * 100 = (235 / 2765) * 100 ≈ 8.5%
Hence, the strength of the school in 2017 would be 2765, and the percentage increase in strength from 2017 to 2025 would be approximately 8.5%.
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The strength of a school increase and decrease every alternate year by 20%. it started with an increase in the year 2025 and the initial strength was 3000. find the strength of the school in the year 2017 and also the percentage of increase in strength, respectively.?
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The strength of a school increase and decrease every alternate year by 20%. it started with an increase in the year 2025 and the initial strength was 3000. find the strength of the school in the year 2017 and also the percentage of increase in strength, respectively.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The strength of a school increase and decrease every alternate year by 20%. it started with an increase in the year 2025 and the initial strength was 3000. find the strength of the school in the year 2017 and also the percentage of increase in strength, respectively.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The strength of a school increase and decrease every alternate year by 20%. it started with an increase in the year 2025 and the initial strength was 3000. find the strength of the school in the year 2017 and also the percentage of increase in strength, respectively.?.
The strength of a school increase and decrease every alternate year by 20%. it started with an increase in the year 2025 and the initial strength was 3000. find the strength of the school in the year 2017 and also the percentage of increase in strength, respectively.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The strength of a school increase and decrease every alternate year by 20%. it started with an increase in the year 2025 and the initial strength was 3000. find the strength of the school in the year 2017 and also the percentage of increase in strength, respectively.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The strength of a school increase and decrease every alternate year by 20%. it started with an increase in the year 2025 and the initial strength was 3000. find the strength of the school in the year 2017 and also the percentage of increase in strength, respectively.?.
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