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      Question

      Ratio of male to female population of a town in 2010

      was 13:12 and total population in 2010 was 25000. If the male population is ___ and female population is ____ as compared to last year then the total population of the town becomes 27000 in 2011. 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%, decreased by 5% B. decreased by 10%, increased by 27.5% C. increased by 25%, increased by 10%
      A Only A Correct Answer Incorrect Answer
      B Only B Correct Answer Incorrect Answer
      C Only A and B Correct Answer Incorrect Answer
      D Only B and C Correct Answer Incorrect Answer
      E All A, B and C Correct Answer Incorrect Answer

      Solution

      Total male population in 2010 = ({13}/{13 + 12} x 25000 = {13/25} x 25000 = 13000) Total female population in 2010 = 25000 − 13000 = 12000 When male population is increased by 20% and female population is decreased by 5%. New male = 1.20 × 13000 = 15600
      New female = 0.95 × 12000 = 11400 Total = 15600 + 11400 = 27000 So, A can be the answer. When male population is decreased by 10% and female population is increased by 27.5%. New male = 0.90 × 13000 = 11700
      New female = 1.275 × 12000 = 15300 Total = 11700 + 15300 = 27000 So, B can be the answer. When male population is increased by 25% and female population is increased by 10%. New male = 1.25 × 13000 = 16250
      New female = 1.10 × 12000 = 13200 Total = 16250 + 13200 = 29450 (≠ 27000) So, C cannot be the answer. Therefore, only A and B can be the answer. Hence, option c.

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