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
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