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6.Interest
medium
The population of a state increases by $10 \%$ every year. If its population in the year $2003$ was $15$ lakhs, what was its population in the year $2005$ (in $lakhs$)?
A
$16.5$
B
$15.5$
C
$17.25$
D
$18.15$
Solution
In $2003,$ the population of state is 15 lakhs. Now, we have to determine the population of state in $2005 .$
[where $P =$ Initial population $A = P \left[1+\frac{ r }{100}\right]^{2} \quad \begin{array}{l}\text { and } r =\text { rate / year } \\ A =\text { Population in } 2005\end{array}$
$\Rightarrow 15 Lakh \left[1+\frac{10}{100}\right]^{2} \Rightarrow 15 Lakh \times \frac{121}{100} \Rightarrow 18.15 Lakhs$
Standard 13
Quantitative Aptitude
