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The population of a village has increased annually at the rate of 20%. If at the end of 3 years it is 21600, the population in the beginning of the first year?
  • a)
    10000
  • b)
    12500
  • c)
    15000
  • d)
    17500
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The population of a village has increased annually at the rate of 20%....
  • The population increases by 20% annually, meaning it multiplies by 1.20 each year.
  • After 3 years, the population is 21600.
  • Using the compound growth formula P=P0(1+r)t, where P = 21600, r = 0.20, and t = 3, we calculate the initial population P0.
  • Solving 21600=Px (1.20)3, we find P= 12500.
  • The initial population is therefore 12500.
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