# Find the Number of Females in Town. If

The population of a town in 15,000. If the number of males increases by 8% and females by 10%, then the population becomes 16,300.

Find the number of females in town.

- 4000
- 6000
- 3000
- 5000

**Answer: (4) 5000
Explanation:-**

The population of a town is 15,000

Let be the number of female is X

Then, the number of male is (15,000 – X)

According to the question,

X + X x 10/100 + (15,000 – X) + (15,000 – X ) x 8/100 = 16,300

X + X/10 + 15,000 – X + 15,000 x 8/100 – X x 8/100 = 16,300

15,000 + 1,200 + X/10 – 2X/25 = 16,300

16,200 + X/50 = 16,300

X/50 = 16,300 – 16,200

X = 100 x 50 = 5,000

Hence, the number of female is 5,000.