If a population of a town increases by 15% in one year and then decreases by 10%
Practice Questions
Q1
If a population of a town increases by 15% in one year and then decreases by 10% the next year, what is the net percentage change in the population over the two years?
5%
3.5%
4.5%
6%
Questions & Step-by-Step Solutions
If a population of a town increases by 15% in one year and then decreases by 10% the next year, what is the net percentage change in the population over the two years?
Step 1: Assume the initial population of the town is 100.
Step 2: Calculate the population after a 15% increase. This is done by multiplying 100 by 0.15 (which is 15%) and adding it to the initial population: 100 + (100 * 0.15) = 115.
Step 3: Calculate the population after a 10% decrease from the new population of 115. First, find 10% of 115 by multiplying 115 by 0.10, which equals 11.5. Then subtract this from 115: 115 - 11.5 = 103.5.
Step 4: Find the net change in population by subtracting the initial population from the final population: 103.5 - 100 = 3.5.
Step 5: Calculate the net percentage change by dividing the net change by the initial population and multiplying by 100: (3.5 / 100) * 100% = 3.5%.
