Quantitative Aptitude Ques 1522

Question: The strength of a school increases and decreases in every alternate year by 10%. It started with increase in 2000. Then, the strength of the school in 2003 as compared to that in 2000 was

Options:

A) Increased by 8.9%

B) Decreased by 8.9%

C) Increased by 9.8%

D) Decreased by 9.8%

Show Answer

Answer:

Correct Answer: A

Solution:

  • (a) Let the strength of school in 2000 be 100. Then, in year 2001 strength increased by 10%. So, new strength = 110% of 100 $ =\frac{110\times 100}{100}=110 $ In year 2002, strength decreased by 10%. So, new strength = 90% of 110 $ =\frac{90\times 110}{100}=99 $ Again in year 2003, it increased by 10%. So, new strength = 110% of 99 $ =\frac{110\times 99}{100}=108.9 $ Hence, the strength in 2003 as compared to 2000 is increased by 8.9%.