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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 Cms? - Mathematics

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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 cms? 

Options

  • 108 cms 

  • 90 cms 

  • 144 cms

  • 112 cms

MCQ

Solution

108 cms

Explanation:

Rate of grow `= 100/5` = 20 %

time t = 2 years

Height of the tree after 2 years

`= 75 xx (1 + 20/100)^2`

= 75 × 1.44 = 108 cm

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2018-2019 (May) Set 1
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