ABC26GN2432 · Percentage
Subject: General Aptitude · Chapter: Percentage · Exam: 2006 · Marks: · Difficulty:
A tree increases annually by $\frac{1}{8}$ of its height. By how much will it increase after $2 \frac{1}{2}$ years if it stands today 8 m high?
(a)10.75 m
(b)11.85 m
(c)12.25 m
(d)15.60 m
Answer
Explanation
Percentage annual increase $=\left(\frac{1}{8} \times 100\right) \%=\frac{25}{2} \%$. $$\begin{aligned} & \text { Height after } 2 \frac{1}{2} \text { years } \\ & \qquad=\left[8\left(1+\frac{25}{2 \times 100}\right)^{2}\left(1+\frac{25}{4 \times 100}\right)\right] \mathrm{m} \\ & =\left(8 \times \frac{9}{8} \times \frac{9}{8} \times \frac{17}{16}\right) \mathrm{m}=\left(\frac{1377}{128}\right) \mathrm{m}=10.75 \mathrm{m} \end{aligned}$$
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