A tree increases annually by frac{1}{8} of its height. By how much will it increase (In cm ) af

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6.Interest

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A tree increases annually by $\frac{1}{8}$ of its height. By how much will it increase (In $cm$) after $2$ years, if it stands today $64 cm$ high?

A

$72$

B

$74$

C

$75$

D

$81$

Solution

(d) Increase $\%=\left(\frac{1}{8} \times 100\right) \%=12.5 \%$

Height after 2 years $=64 \times\left(1+\frac{25}{2 \times 100}\right)^{2}=64 \times \frac{9}{8} \times \frac{9}{8}$

$=81 cm$

Standard 13

Quantitative Aptitude

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