10% of the inhabitants of a village died of cholera, and 20% of the remaining inhabitants left the…
After the deaths, 90% of the original population remains; after the departures, 80% of that remainder stays. Thus 0.9 × 0.8 × original population = 5040, giving an original…
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10% of the inhabitants of a village died of cholera, and 20% of the remaining inhabitants left the village. The population was then reduced to 5040. What was the original number of inhabitants?
Answer and explanation
Correct answer B
After the deaths, 90% of the original population remains; after the departures, 80% of that remainder stays. Thus 0.9 × 0.8 × original population = 5040, giving an original population of 7000.
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