Question : 20% of the inhabitants of a village had 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)
Option 1: 21000
Option 2: 21428
Option 3: 21500
Option 4: 30428
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Correct Answer: 21428
Solution :
Given, 20% of the inhabitants of the village died of malaria
And, 30% of the inhabitants left the village
Let the inhabitants initially be P.
⇒ Reduced = P × (100 - 20%) × (100 - 30%)
⇒ 12000 = P$×\frac{80}{100}×\frac{70}{100}$
⇒ P = $\frac{12000×100×100}{70×80}$
⇒ P = 21428
Hence, the correct answer is 21428.
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