During 2021, the population of a city increased by 8% and in 2022, it increased by 10%. At the end of 2022, its population was 47520. The population of the city at the end of 2021 was:

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SSC Selection Post 2024 (Graduate Level) Official Paper (Held On: 21 Jun, 2024 Shift 3)
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  1. 40000
  2. 43200
  3. 42300
  4. 44000

Answer (Detailed Solution Below)

Option 2 : 43200
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Detailed Solution

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Given:

Population at the end of 2022 (P2022) = 47,520

Increase in 2021 = 8%

Increase in 2022 = 10%

Formula used:

P2022 = P2021 × (1 + 10/100)

Calculation:

47,520 = P2021 × (1 + 10/100)

⇒ P2021 = 47,520 ÷ 1.10

⇒ P2021 = 43,200

∴ The population at the end of 2021 was 43,200.

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