Question
Ratio of male to female population of a town in 2014
was 5:7 and total population in 2014 was 14400. If the male population is ___ and female population is ____ as compared to last year then the total population of the town becomes 18000 in 2015. 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 25%, increased by 25% B. increased by 50%, decreased by 10% C. increased by 10%, increased by 20%Solution
Total male population in 2014 = ({5}/{5+7} x 14400 = {5/12} x 14400 = 6000) Total female population in 2014 = 14400 − 6000 = 8400 When male population is increased by 25% and female population is increased by 25%. New male = 1.25 × 6000 = 7500
New female = 1.25 × 8400 = 10500 Total = 7500 + 10500 = 18000 So, A can be the answer. When male population is increased by 50% and female population is decreased by 10%. New male = 1.50 × 6000 = 9000
New female = 0.90 × 8400 = 7560 Total = 9000 + 7560 = 16560 (≠18000) So, B cannot be the answer. When male population is increased by 10% and female population is increased by 20%. New male = 1.10 × 6000 = 6600
New female = 1.20 × 8400 = 10080 Total = 6600 + 10080 = 16680 (≠18000) So, C cannot be the answer. Therefore, only A can be the answer. Hence, option a.
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