Question
Download Solution PDF20% 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)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
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 = \(P×\frac{70}{100}×\frac{80}{100}\)
⇒ P = \(\frac{12000×100×100} {70×80} \)
⇒ P = 21428
⇒ Hence, The population initially was 21428
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