Assume the population of Panchagarh in 2016 was 1.5 lakh. In 2017, the population of city P increased by 15%, while that of city S increased by 20%. What is the ratio of the male population of city P to that of city S in 2017?

Given, 

Total population in 2016 = 150000

Population of P in 2016 = $$\ \ \ \ \ \dfrac{\ 20}{100}\times\ 150000\ =30000$$

Population of P in 2017 = $$\ \ \ \ \ \dfrac{\ 115}{100}\times\ 30000\ =34500$$

Male Population of P in 2017 = $$\ \ \ \ \ \dfrac{\ 20}{100}\times\ 34500\ =6900$$

Population of S in 2016 = $$\ \ \ \ \ \dfrac{\ 15}{100}\times\ 150000\ =22500$$

Population of S in 2017 = $$\ \ \ \ \ \dfrac{\ 120}{100}\times\ 22500\ =27000$$

Male Population of S in 2017 = $$\ \ \ \ \ \dfrac{\ 50}{100}\times\ 27000\ =13500$$

Ratio of the male population of city P to that of city S in 2017 = $$\ \ \ \ \ \dfrac{\ 6900}{13500}=\ \dfrac{\ 23}{45}$$