Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-1

The population of a state in the year was 93771. If the rate of increase was 8% and 15% respectively from the previous 2 yr before 2013, what was the population in the year 2011? [NICL (AO) 2014]

A) 55650

B) 49550

C) 75500

D) 84500

E) 65200

Correct Answer: C

Solution :

[c] Let population in year 2011 = x

\[\therefore \] Population in year 2012 \[=x+\frac{x\times 8}{100}=\frac{27x}{25}\]

Now, population in year 2013

\[=\,\,\frac{27x}{25}+\frac{27x}{25}\times \frac{15}{100}\,\,=\,\,\frac{621x}{500}\]

According to the question, \[=\,\,\frac{621x}{500}\,\,=\,\,93771\]

\[\Rightarrow \] \[x=\frac{93771\times 500}{621}=151\times 500\]

\[\Rightarrow \] \[x=75500\]