Question

The male and female ratio was 6:7 in the
year 2014 in a village. After a year the
male and female population of the village
increased by 15% and 12% respectively.
The population stood at 5896 in the year
2015.. Find the female population in the
village for the year 2015.
(a) 3136
(b) 2564
(C) 2760
(d) 3240

Answer 1

Answer:

Option (a), 3136 is correct.

Step-by-step explanation:

In 2014 the ratio of male and female ratio was 6 : 7

Let x be the common multiple. Then in 2014 male population were 6x and that of female were 7x.

In 2015 male population and that of female were increased by 15% and 12% respectively.

In 2015 male population = 6x (1 + 15/100)

= 6x × 115/100

= 690x/100

and that of female = 7x (1 + 12/100)

= 7x × 112/100

= 784x/100

Given total population in 2015 = 5896

Then 690x/100 + 784x/100 = 5896

or, 1474x/100 = 5896

or, 1474x = 589600

or, x = 400

Therefore female population in 2015 was

= (784 × 400) / 100

= 3136