Question:

A tree grows at the rate of 1/5th of its height annually. By how much height will it grow after 2 years, if its present height is 75 cm?

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Repeated percentage growth compounds: value after $n$ years at rate $r%$ equals initial $\times\,(1+\tfrac{r}{100})^n$.
Updated On: Aug 13, 2025
  • 108 cms
  • 90 cms
  • 144 cms
  • 112 cms
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The Correct Option is A

Solution and Explanation

Growth rate $= \dfrac{1}{5}$ of current height each year $=20%$ per annum, so the growth is compounded.
After 1 year: $75\times(1+0.20)=75\times1.20=90$ cm.
After 2 years: $90\times1.20=108$ cm.
Therefore the height after two years is 108 cm. (The net increase is $108-75=33$ cm, but the options list the final height.)
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