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      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%
      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 2014 = ({5}/{5+7} x 14400 = {5/12} x 14400 = 6000) Total female population in 2014 = 14400 тИТ 6000 = 8400 When male population is increased by 25% and female population is increased by 25%. New male = 1.25 ├Ч 6000 = 7500
      New female = 1.25 ├Ч 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 ├Ч 6000 = 9000
      New female = 0.90 ├Ч 8400 = 7560 Total = 9000 + 7560 = 16560 (тЙа 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 ├Ч 6000 = 6600
      New female = 1.20 ├Ч 8400 = 10080 Total = 6600 + 10080 = 16680 (тЙа 18000) So, C cannot be the answer. Therefore, only A can be the answer. Hence, option a.

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