Question
Ratio of male to female population of a town in 2012 was
7:5 and total population in 2012 was 24000. If the male population is ___ and female population is ____ as compared to last year then the total population of the town becomes 25000 in 2013. 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 20%, no change B. increased by 25%, decreased by 25% C. decreased by 10%, increased by 24%Solution
Total male population in 2012 = ({7}/{7 + 5} x 24000 = {7/12} x 24000 = 14000) Total female population in 2012 = 24000 − 14000 = 10000 When male population is increased by 20% and female population is unchanged. New male = 1.20 × 14000 = 16800
New female = 1.00 × 10000 = 10000 Total = 16800 + 10000 = 26800 (≠25000) So, A cannot be the answer. When male population is increased by 25% and female population is decreased by 25%. New male = 1.25 × 14000 = 17500
New female = 0.75 × 10000 = 7500 Total = 17500 + 7500 = 25000 So, B can be the answer. When male population is decreased by 10% and female population is increased by 24%. New male = 0.90 × 14000 = 12600
New female = 1.24 × 10000 = 12400 Total = 12600 + 12400 = 25000 So, C can be the answer. Therefore, only B and C can be the answer. Hence, option d.
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