If the male population above poverty line for state R is 1.9 million, then the total population of the state R is:

Answer: Option D

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
$$\begin{array}{rl}& \therefore \frac{2}{5}\times \left(\frac{76}{100}\times x\right)=1.9\\ & \Rightarrow x=\frac{5\times 100\times 1.9}{76\times 2}\\ & \Rightarrow x=6.25\end{array}$$
∴ Total population of state R = 6.25 million