Question

The present height of a tree a side 847 cm find its height 2 years ago if it increase or 10 % p.a

Answer 1

Answer:

Height of Tree 2 Years ago = 700 cm

Step-by-step explanation:

Let say tree height Two  years Ago  = H cm

the tee height after 1 Year = H + (10/100)H  = 1.1H  cm

Tree after 2 years ( Menas at Present)  = 1.1H + (10/100)(1.1H)  = 1.1H  * 1.1

= 1.21H  cm

1.21H  = 847

=> H = 700

Height of Tree 2 Years ago = 700 cm

Answer 2

Answer: 700 cm

Step-by-step explanation:

Let the height of tree 2 years ago = x cm

Now the height is increasing by 10% per annum

The height is given by

$\text { Present height } = \text { Initial height } ( 1+ \dfrac{R}{100} )^t$

where R is rate and t is time

Therefore

$847= x(1+\dfrac{10}{100} )^2\\\\\Rightarrow 847 = x(1+\dfrac{1}{10} )^2\\\\\Rightarrow 847 = x(\dfrac{11}{10} )^2\\\\\Rightarrow x= \dfrac{847 \times 10 \times 10}{11\times 11}\\\\\Rightarrow x= 700 cm$

Hence, the height of the tree 2 years ago is 700 cm