Question

If the male population above poverty line for State R is $1.9$ million, then the total population of State R is?

• A. $4.5$ million
• B. $4.85$ million
• C. $5.35$ million
• D. $6.25$ million

Answer 1

The correct option is D $6.25$ million

Let the total population of State R be x million.
Then, population of State R above poverty line
$=\left[\right(100-24)$% of $x]$ million
$=(\frac{76}{100}\times x)million$
And so, male population of State R above poverty line
$=[\frac{2}{5}\times (\frac{76}{100}\times x)]million$
But, it is given that male population of State R above poverty line $=1.9million$.
$\therefore \frac{2}{5}\times (\frac{76}{100}\times x)=1.9\Rightarrow x=\frac{5\times 100\times 1.9}{76\times 2}=6.25$.
$\therefore$ Total population of State $R=6.25million$.