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A city had 1000 migrants in the year 1999. If the number of migrants in the city has doubled every 3 years since 1999, then what was the increase in the population of migrants during the period from 2008 to 2011?
  • a)
    2000
  • b)
    4000
  • c)
    8000
  • d)
    16000
  • e)
    32000
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A city had 1000 migrants in the year 1999. Ifthe number of migrants in...
Given
  • Number of migrants in the year 1999 = 1000
  • Number of migrants doubles every 3 years
To Find:
  • Increase in migrants population from 2008 to 2011?
    • Migrants Population in 2011 – Migrants Population in 2008
Approach
  1. As we know that the migrants population doubles every 3 years and migrants population in 1999 = 1000, we can use this information to calculate the migrants population in the year 2008 and the year 2011.
Working Out
  1. Migrants population in year 1999 = 1000
  2. Migrants population after (2008 – 1999 = 9 years) i.e. 3 intervals of 3 years = 1000 * 23
  3. Migrants population after (2011 – 1999 = 12 years) i.e. after 4 intervals of 3 years= 1000 * 24
  4. Difference in migrants population = 1000 *(24−23)=1000∗8=8000
  1.  
Hence, the migrants population increased by 8000 between 2008 and 2011.
 
Answer: C
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