Question 65

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:

Solution

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 + $$\frac{115}{100}$$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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