Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-38

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 [SSC (CGL) Mains 2014]

A) Increased by 8.9%

B) Decreased by 8.9%

C) Increased by 9.8%

D) Decreased by 9.8%

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%.