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.

  1. 4000
  2. 6000
  3. 3000
  4. 5000
Monis Rasool Professor Asked on 10th June 2015 in Maths.
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1 Answer(s)

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.

Anurag Mishra Professor Answered on 10th June 2015.
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