What will be the male population above poverty line for State P if the female population below poverty line for State P is 2.1 million ?
(a)2.1 million
(b)2.3 million
(c)2.7 million
(d)3.3 million
(e)3.4 million
Answer
Answer (as printed): D
Explanation
Female population below poverty line for State $P=2.1$ million. Let the male population below poverty line for State $P$ be $x$ million. Then 5 : $6=x: 2.1 \Rightarrow \frac{x}{2.1}=\frac{5}{6} \Rightarrow x=\frac{2.1 \times 5}{6}=1.75$. ∴ Population below poverty line for State $P=(2.1+1.75)$ million = 3.85 million. Let the population above poverty line for State $P$ be $y$ million. Since, 35\% of the total population of State $P$ is below poverty line, therefore, 65\% of the total population of State $P$ is above poverty line. So, the ratio of population below poverty line to that above poverty line for State $P$ is 35 : 65. $\therefore 35: 65=3.85: y \Rightarrow y=\frac{65 \times 3.85}{35}=7.15$. ∴ Population above poverty line for State $P=7.15$ million and so, male population above poverty line for State $P=\left(\frac{6}{13} \times 7.15\right)$ million $=3.3$ million.
Explanation as extracted from the printed page; notation may be imperfect.