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Directions (1 - 4): The following table gives the percentage distribution of population of five states, P, Q, R, S and T on the basis of poverty line and also on the basis of sex. Study the table and answer the questions based on it.
State Percentage of Population Below Poverty Line Proportion of Males and Females
Below Poverty Line Above Poverty Line
M : F F : F
P 35 5 : 6 6 : 7
Q 25 3 : 5 4 : 5
R 24 1 : 2 2 : 3
S 19 3 : 2 4 : 3
T 15 5 : 3 3 : 2
Table Chart
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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?

Answer & Solution
Correct Answer: Option D
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,
$$\eqalign{ & 5:6 = x:2.1 \cr & \Rightarrow \frac{x}{2.1} = \frac{5}{6} \cr & \Rightarrow x = \frac{2.1\times5}{6} \cr & \Rightarrow x = 1.75 \cr} $$
∴ 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.
$$\eqalign{ & \therefore 35 : 65 = 3.85 : y \cr & \Rightarrow y = \frac{65\times3.85}{35} \cr & \Rightarrow y = 7.15 \cr} $$
∴ Population above poverty line for state P = 7.15 million and so, male population above poverty line for state P
$$\eqalign{ & = \left(\frac{6}{13}\times 7.15\right) \text{million} \cr & = 3.3 \text{ million} \cr} $$
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