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      Question

      The total number of students in a college is 13,200. If

      the number of male students increases by 30% and the number of female students increases by 20% in a year and after the increase total number of students in the college is 16,440, what is the difference between the initial number of male and female students in the college ?
      A 7,200 Correct Answer Incorrect Answer
      B 6,000 Correct Answer Incorrect Answer
      C 1,200 Correct Answer Incorrect Answer
      D Data Inadequate Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let, the initial no. of male students be X . X × 130% + (13,200 – X ) × 120% = 16,440 ⇒ 1.30 X + 15,840 – 1.20 X = 16,440 ⇒ 0.10 X = 600 ⇒ X = 6,000 No. of female students = 13,200 – 6,000 = 7,200 Required difference = 7,200 – 6,000 = 1,200 Or Use Alligation Net increase in Population = `(16440-13200)/(13200)xx 100 = 3240/13200 xx 100 = 270/11%` Male Female 20% 30% Net Change% = 270/11% So New Values, Male Female 220 330 Net Change = 270

      So ratio = (330-270): (270-220) = 60:50 = 6:5
      So required difference between number of males and females = (6-5)/(6+5) of 13200 = 1/11 of 13200 = 1200

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