Final answer:
The population of the town in the year 2008 is 4,57,180.
Step-by-step explanation:
The population of the city in the year 2010 was 4,22,500. The population increases at a constant rate of 4% per annum. To find the population of the town in the year 2008, we need to work backwards. We can start with the population in 2010 and use the growth rate to find the population in previous years.
Step 1: Calculate the population in 2009 by multiplying the population in 2010 by (1 + growth rate).
Population in 2009 = 4,22,500 * (1 + 0.04) = 4,39,500
Step 2: Calculate the population in 2008 by multiplying the population in 2009 by (1 + growth rate).
Population in 2008 = 4,39,500 * (1 + 0.04) = 4,57,180
Therefore, the population of the town in the year 2008 is 4,57,180.