Question

The table below shows the age-wise distribution of the population of Reposia. The number of people aged below $35$ years is $400$ million.

Age Group Percentages

Age group	Percentages
Below 15 years	30.00
15 – 24	17.75
25 – 34	17.00
35 – 44	14.50
45 – 54	12.50
55 – 64	7.10
65 and above	1.15

If the ratio of females to males in the ‘below 15 years’ age group is $0.96$, find the number of females (in millions) in that age group.

• A. 82.8
• B. 90.8
• C. 80.0
• D. 90.0

Hint:

When given a subset total and percentage, find the grand total first, then compute subgroup populations.

Answer 1

The Correct Option is B

Population below 35 years = 400 million = sum of below 15, 15--24, 25--34 groups. Total percentage for below 35 years: \[ 30 + 17.75 + 17 = 64.75%. \] So total population = $\frac{400}{0.6475} \approx 617.16$ million. Population below 15 years = $0.30 \times 617.16 \approx 185.15$ million. Let males = $M$, females = $0.96M$, total = $M + 0.96M = 1.96M$. So $M = \frac{185.15}{1.96} \approx 94.53$ million, females = $0.96M \approx 90.74 \ (\approx 90.8)$. \[ \boxed{90.8 \ \text{million}} \]