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 |
If the male population above poverty line for state R is 1.9 million, then the total population of the state R is:
A. 4.5 million
B. 4.85 million
C. 5.35 million
D. 6.25 million
E. 7.6 million
Answer: Option D
Solution(By Examveda Team)
Let the total population of state R be x million.Then, population of state R above poverty line
= [(100 - 24)% of x] million
= $$\left(\frac{76}{100}\times x\right)$$ million
And so, male population of state R above poverty line
$$\left\{ \frac{2}{5}\times\left(\frac{76}{100}\times x\right)\right\}$$ million
But, it is given that male population of state R above poverty line = 1.9 million
$$\eqalign{ & \therefore \frac{2}{5}\times\left(\frac{76}{100}\times x\right) = 1.9 \cr & \Rightarrow x = \frac{5\times100\times1.9}{76\times2} \cr & \Rightarrow x = 6.25 \cr} $$
∴ Total population of state R = 6.25 million
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