If a population growing exponentially double in size in $3$ year, what is intrinsic rate of increase $(r)$ of the population ? $(e = 2.71828)$

  • A
    $23.1\%$
  • B
    $92.4\%$
  • C
    $69.3\%$
  • D
    $41.2\%$

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  • [AIPMT 2003]