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 ?

Q: Answer-&lt;p&gt;The total number of students in a college is 13,200. If the number of male students increas...

Let, the initial no. of male students be X . X times 130 13,200 ndash X times 120 16,440 rArr 1.30 X 15,840 ndash 1.20 X 16,440 rArr 0.10 X 600 rArr X 6,000 No. of female students 13,200 ndash 6,000 7,200 Required difference 7,200 ndash 6,000 1,200 Or Use Alligation Net increase in Population 16440-1320013200xx 100 324013200 xx 100 27011 Male Female 20 30 Net Change 27011 So New Values, Male Female 220 330 Net Change 270 So ratio 330-270 270-220 6050 65 So required difference between number of males and females 6-565 of 13200 111 of 13200 1200