The population of a village in 2019 was 30,000. The increase in population rate was 15% and 25% respectively from the year 2019 to 2020 and 2020 to 2021. What was the population in the year 2021?

Population in 2019 = 30,000

Increase rate from 2019 to 2020 = 15%

Increase rate from 2020 to 2021 = 25%

To find the population in 2021, we first find the population in 2020 using the 15% increase rate, and then use the 25% increase rate to find the population in 2021.

Population after increase is given by:

Population = Initial population × (1 + rate of increase)

The population in 2020:

Population in 2020 = 30,000 × (1 + 15/100) = 30,000 × 1.15 = 34,500

The population in 2021:

Population in 2021 = 34,500 × (1 + 25/100) = 34,500 × 1.25 = 43,125

Thus, the population in 2021 is 43,125.