The population of a town is 32000. It increases by 15 percent during the first year. During the second year it decreases by 20 percent and increased by 2 percent during the third year? What is the population after 3 years?
Answers
Step-by-step explanation:
Formula for finding % of something = number/100× other number, for example to find 10% of 500=10/100×500
15 percent of 32000= 4800
20 percent of 32000=6400
2 percent of 32000=640
Total population increased =4800+640=5440
Total population after 3 years = 6400-5440=960
32000-960=31040 Answer ✅
Given: The population of a town is 32000. It increases by 15 percent during the first year. During the second year it decreases by 20 percent and increased by 2 percent during the third year.
To find: Population after 3 years
Solution: Population at the beginning= 32000
It increases by 15% in first year. Therefore, number of people increased
= 15% of 32000
= (15/100) × 32000
= 0.15 × 32000
= 4800
Therefore, population after first year
= Population at beginning+ People increased after first year
= 32000 + 4800
= 36800
It decreases by 20% in second year. Therefore, number of people decreased
= 20% of 36800
= (20/100) × 36800
= 0.2 × 36800
= 7360
Therefore, population after second year
= Population after first year - People decreased after second year
= 36800 - 7360
= 29440
It increases by 2% in third year. Therefore, number of people increased
= 2% of 29440
= (2/100) × 29440
= 0.02 × 29440
= 588.8
which is approximately equal to 589.
Therefore, population after third year
= Population after second year + People increased after third year
= 29440 + 589
= 30029
Therefore, the population of the town after 3 years is 30,029.