20% of the inhabitants of a village having died of malaria, a panic set in, during which 30% of the remaining inhabitants left the village. The population was then reduced to 12,000. What was the number of inhabitants initially (Consider integral part only)

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SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 2)
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  1. 21000
  2. 21428
  3. 21500
  4. 30428

Answer (Detailed Solution Below)

Option 2 : 21428
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Detailed Solution

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Given:

20% of the inhabitants of the village died of malaria

30% of the inhabitants left the village

Formula used:

Inhabitants reduced = Population × (100 - Decreased %) 

Calculation:

According to the formula, 

The inhabitants initially, 

⇒ Reduced = P × (100 - 20%) × (100 - 30%)

⇒ 12000 = 

⇒ P = 

⇒ P = 21428

⇒ Hence, The population initially was 21428

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