The population of a town in increases 5% annually but is decreased by emigration annually to extent of 1%. The population increase percent in three years is
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Net increase in population in a year = ( 4 − 1 2 ) (4−12)% = 3 1 2 12 % Let the original population of the town be 100. Then, Population after 3 years = 100 ( 1 + 3.5 100 ) 3 (1+3.5100)3 = 100 × 207 × 207 × 207 100 × 100 × 100 100×207×207×207100×100×100 = 110.87 ∴ ∴ % increase = (110.87 – 100)% = 10.87% = 10.8%
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