Question

A tree increases annually by ${\left(\frac{1}{8}\right)}^{th}$ of its height, By how much will it increase after $2$ years, if it stands today $256$ cm high?

• A. $288$ cm
• B. $324$ cm
• C. $360$ cm
• D. $300$ cm

Answer 1

Answer: (B)

$324$ cm

Present height of tree is $256$ cm and it increases annually by ${\left(\frac{1}{8}\right)}^{th}$ of its height.

Tree height increases after $1$ year $=$ $256$ cm $+(256\times \frac{1}{8})$ cm

Tree height increases after $1$ year $=256$ cm $+$ $32$ cm $=288$ cm

Tree height increases after $2$ years $=$ $288$ cm $+(288\times \frac{1}{8})$ cm

Tree height increases after $2$ years $=$ Rs. $288$ cm $+$ Rs. $36$ cm $=$ Rs. $324$ cm