5% of the inhabitants of a village having died of malaria, a panic set in. During this, 20% of the…
If the original population is N, survivors after deaths are 0.95N and those remaining after migration are 0.80×0.95N=0.76N. Thus N=4750/0.76=6250. Original populations 5000,…
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5% of the inhabitants of a village having died of malaria, a panic set in. During this, 20% of the remaining inhabitants left the village. The population is then reduced to 4750. Find the number of original inhabitants.
Answer and explanation
Correct answer C
If the original population is N, survivors after deaths are 0.95N and those remaining after migration are 0.80×0.95N=0.76N. Thus N=4750/0.76=6250. Original populations 5000, 5250 and 7500 would leave 3800, 3990 and 5700 respectively, not 4750.
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