Question

A tree increases annually by 1/5th of its height. if its height today is 50 cm, what will be the height after 2 years?

Answer 1

after one yr=x+(x/5)
after two yrs=+1/5(x+x/5)
put x=50 ...then (x+x/5) is 60
ans is 60+1/5*60=72

Answer 2

Answer:

Height of the tree after second year = 72 cm

Step-by-step explanation:

The height of the tree today = 50 cm

According to the problem given,

"If tree increases annually by 1/5th of its height ."

$Increase\: in \:first \:year = \frac{1}{5} \:of\: 50\: cm\\=\frac{1}{5} \times 50 \:cm \\=10\: cm$

Now,

Height of the tree End of the first year = 50cm +10 cm = 60 cm

$Increase\: in \:second \:year = \frac{1}{5}\: of\: 60\: cm\\=\frac{1}{5} \times 60 \:cm \\=12\: cm$

Now,

Height of the tree End of the second year = 60cm +12 cm =72 cm

Therefore,.

Height of the tree after second year = 72 cm

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