Question
Ratio of male to female population of a town in 2018
was 3:2 and total population in 2018 was 15000. If the male population is ___ and female population is ____ as compared to last year then the total population of the town becomes 21000 in 2019. The values given in which of the following options will fill the blanks in the same order in which it is given to make the above statement true: A. increased by 50%, increased by 25% B. increased by 60%, increased by 10% C. increased by 100%, decreased by 50%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.
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