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A Mango Tree Was Planted 3 Years Ago. the Rate of Growth is 20% per Annum. If at Present, the Height of the Tree is 1 M 8 Cm, How High Was It When Planted?

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Question

A mango tree was planted 3 years ago. The rate of growth is 20% per annum. If at present, the height of the tree is 1 m 8 cm, how high was it when planted?

Sum
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Solution

Vn = 1m 8 cm = 108 cm; V0 = ? ; t = 2 years; r = 20 %

`"V"_"n" = "V"_0  (1 - "r"/100)^"n"`

108 cm = V0 `(1 + 20/100)^3`

V0 = 108cm x 0.8333 x 0.8333 x 0.8333

V0 = 62.5 = m 

The height of tree was 62.5 cm when planted. 

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Finding CI from the Relation CI = A – P
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