The population of a village was 110000. It increased by 10% in the first year and increased by 20% in the second year. Its population after two years is _______.

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AFCAT 10th Aug 2024 (Shift 1) Memory Based Paper.
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  1. 143000
  2. 121000
  3. 132000
  4. 145200

Answer (Detailed Solution Below)

Option 4 : 145200
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AFCAT 16th Feb 2024 (Shift 1) Memory Based Paper.
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Detailed Solution

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Given:

Initial Population = 110000

First Year Increase = 10%

Second Year Increase = 20%

Formula used:

Population after n years = Initial Population × (1 + Rate1) × (1 + Rate2)

Calculations:

Population after 2 years = 110000 × (1 + 10/100) × (1 + 20/100)

⇒ Population after 2 years = 110000 × 1.1 × 1.2

⇒ Population after 2 years = 110000 × 1.32

⇒ Population after 2 years = 145200

∴ The correct answer is option (4).

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