Let men =x, women =y According to the question, x+y=15280 . . . (i) Number of men increase by 25% =
125
100
x Number of women increase by 15% =
115
100
y Then,
125
100
x+
115
100
y=18428 ⇒
25x+23y
20
=18428 ⇒25x+23y=18428×20 . . . (ii) Eq. (i) is multiply by 25− Eq. (ii), we get ⇒25x+25y−25x−23y =15280×25−18428×20 ⇒2y=382000−368560 ⇒2y=13440 ⇒y=6720 Put in Eq. (i), we get ∴ The difference between x and y =8560−6720=1840