The number of schools in a city is directly proportional to the population of the city. In 2020, there were 125 schools and the population of the city was 1,80,000. In 2023, the number of schools in the city is 180. What is the percentage increase in the population of the city from 2020 to 2023?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 44%.
Given, Number of schools = K × Population of city
For 2020, K = 125/180000
Now, For 2023, Population of city = Number of schools/K
⇒ 180/(125/180000)
⇒ 180 × 180000/125 = 259200
Now, percent increase in population = [(259200 - 180000)/180000] × 100
⇒ 100 × 79200/180000 = 44%