Question
The population of a city increased by 11% for two
consecutive years and then decreased by 30% in the third year. If the final population in 2023 was 21,658.05, find its population in 2020.Solution
ATQ,
Let the population in 2020 be ‘x’.
ATQ,
x × 1.11 × 1.11 × 0.70 = 21658.05
Or, x = 21658.05 × (1/1.11) × (1/1.11) × (1/0.70)
So, x = 30,000
Therefore, the population of the city in 2020 = x = 30,000
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