The present population of a village is 15280. If the number of males increases by 25% and the number of females increases by 15%, then the population will become 18428. The difference between present population of males and females in the village is:
Answer & explanation
Correct answer: option 1
25% = \(\frac{1}{4}\) & 15% = \(\frac{3}{20}\)
Let number of males = x & Number of females = y
x + y = 15280 ----(1)
Number of increased male = (1 + \(\frac{1}{4}\))x = \(\frac{5x}{4}\)
Number of increased female = ( 1 + \(\frac{3}{20}\) ) y = \(\frac{23y}{20}\)
Increased New population = 18428
i.e \(\frac{5x}{4}\) + \(\frac{23y}{20}\) = 18428
25x + 23y = 368560 ----(2)
Multiply equation 1 by 25 and subtract equation 2 from it
25y - 23y = 382000 - 368560
2y = 13440
y = 6720 & x = 15280 - 6720 = 8560
Difference b/w present male & female = 8560 - 6720 = 1840