Ratio of male to female population of a town in 2018

Solution

Total male population in 2018 = ({3}/{3 + 2} x 15000 = {3/5} x 15000 = 9000) Total female population in 2018 = 15000 − 9000 = 6000 When male population is increased by 50% and female population is increased by 25%. New male = 1.50 × 9000 = 13500
New female = 1.25 × 6000 = 7500 Total = 13500 + 7500 = 21000 So, A can be the answer. When male population is increased by 60% and female population is increased by 10%. New male = 1.60 × 9000 = 14400
New female = 1.10 × 6000 = 6600 Total = 14400 + 6600 = 21000 So, B can be the answer. When male population is increased by 100% and female population is decreased by 50%. New male = 2.00 × 9000 = 18000
New female = 0.50 × 6000 = 3000 Total = 18000 + 3000 = 21000 So, C can be the answer. Therefore, A, B and C can be the answer. Hence, option e.