10% of the inhabitants of a village having died of cholera, a panic set in, during which 25% of the remaining inhabitants left the village . The population is them reduced to 4050. Find the number of original inhabitants.
Let the total number of original inhabitants be `x`
Then , (100 - 25)% of (100 - 10)% of `x` = 4050
`hArr (75/100 xx 90/100 xx x) = 4050 hArr 27/40 x = 4050 hArr x = ((4050 xx 40)/(27))` = 6000.
`:.` Number of original inhabitants = 6000.
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