Question Bank › General Aptitude › Percentage › ABC26GN2438ABC26GN2438 · Percentage Subject: General Aptitude · Chapter: Percentage · Exam: · Marks: · Difficulty:
The present population of a country estimated to be 10 crores is expected to increase to 13.31 crores during the next three years. The uniform rate of growth is
(a) 8\%
(b) 10\%
(c) 12.7\%
(d) 15\%
Answer Explanation 10 crores $\times\left(1+\frac{\mathrm{R}}{100}\right)^{3}=13.31$ crores. $$\therefore\left(1+\frac{\mathrm{R}}{100}\right)^{3}=\frac{13.31 \text { crores }}{10 \text { crores }}=\frac{13.31}{10}=\frac{1331}{1000}=\left(\frac{11}{10}\right)^{3} .$$ So, $$\begin{aligned} \left(1+\frac{R}{100}\right) & =\frac{11}{10} \Leftrightarrow\left(1+\frac{R}{100}\right) \\ & =\left(1+\frac{1}{10}\right) \Leftrightarrow \frac{R}{100}=\frac{1}{10} \Leftrightarrow R=10 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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