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The strength of a school increases and decreases in every alternate year by 10%. It started in 2000 and  increases in 2001, then the strength of the school in 2003 as compared to that in 2000 was: 
  • a)
    increased by 8.9%
  • b)
    decreased by 8.9%
  • c)
    increased by 9.8%
  • d)
    decreased by 9.8%
  • e)
    increase by 7.8%
Correct answer is option 'A'. Can you explain this answer?
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The strength of a school increases and decreases in every alternate ye...
Given information:
- The strength of a school increases and decreases in every alternate year by 10%.
- It started in 2000 and increases in 2001.

To find: The strength of the school in 2003 as compared to that in 2000.

Solution:
Let's assume the strength of the school in 2000 to be 100.
- In 2001, the strength increases by 10%, i.e., the strength in 2001 = 100 + (10/100)*100 = 110.
- In 2002, the strength decreases by 10%, i.e., the strength in 2002 = 110 - (10/100)*110 = 99.
- In 2003, the strength again increases by 10%, i.e., the strength in 2003 = 99 + (10/100)*99 = 108.9.

Therefore, the strength of the school in 2003 as compared to that in 2000 is increased by (108.9-100)/100 * 100 = 8.9%.

Hence, option 'A' is the correct answer.

Note: The key to solving this problem is to use the concept of successive percentage change.
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The strength of a school increases and decreases in every alternate year by 10%. It started in 2000 and increases in 2001, then the strength of the school in 2003 as compared to that in 2000 was:a)increased by 8.9%b)decreased by 8.9%c)increased by 9.8%d)decreased by 9.8%e)increase by 7.8%Correct answer is option 'A'. Can you explain this answer?
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