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:
The present population of a village is 15280.
Let the number of males and females of the village are M and F respectively.
M + F = 15280............(1)
If the number of males increases by 25% and the number of females increases by 15%, then the population will become 18428.
$$\frac{125}{100}$$M +Â $$\frac{115}{100}$$F = 18428
125M + 115F = 18428 x 100
25M + 23F = 368560.........(2)
Solving 25 x (1) - (2), we get
25F - 23F = 382000 - 368560
2F = 13440
F = 6720
Substituting F = 6720 in equation (1),
M + 6720 = 15280
M = 8560
The difference between present population of males and females in the village = 8560 - 6720 = 1840
Hence, the correct answer is Option A
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