Question

If the population of males below poverty line for State Q is $2.4$ million and that for State T is $6$ million, then the total populations of States Q and T are in the ratio?

• A. $1:3$
• B. $2:5$
• C. $3:7$
• D. $4:9$

Answer 1

Answer: (B)

$2:5$

Male population below poverty line $=2.4million$.
Let the female population below poverty line be x million.
Then, $3:5=2.4:x\Rightarrow x=\frac{5\times 2.4}{3}=4$.
$\therefore$ Total population below poverty line $=(2.4+4)=6.4million$.
If $N_q$ be the total population of State Q, then,
$25$% of $N_q=6.4million\Rightarrow N_q=\left(\frac{6.4\times 100}{25}\right)million=25.6million$.
For State T:
Male population below poverty line $=6$ million.
Let the female population below poverty line be y million.
Then, $5:3=6:y\Rightarrow y=\frac{3\times 6}{5}=3.6$.
$\therefore$ Total population below poverty line $=(6+3.6)=9.6million$.
If $N_t$ be the total population of State T, then,
$15$% to $N_t=9.6million\Rightarrow N_t=\left(\frac{9.6\times 100}{15}\right)million=64million$.
Thus, Required ration $=\frac{N_q}{N_t}=\frac{25.6}{64}=0.4=\frac{2}{5}$.