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 |
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: Option D
Solution(By Examveda Team)
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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