Data Interpretation Ques 247

Question-

Directions : Study the following table carefully and answer the given questions.

State Percentage of Population below the poverty line Proportion of Males and Females
Below poverty line Above poverty line
$M : F$ $M: F$
$P$ 35 $5: 6$ $6: 7$
$G$ 25 $3: 5$ $4: 5$
$R$ 24 $1: 2$ $2: 3$
S 19 $3: 2$ $4: 3$
$T$ 15 $5: 3$ $3: 2$

What is the male population above poverty line for State $P$ if the female population below poverty line for State P is 2.1 million?

(1) 2.1 million

(2) 2.7 million

(3) 3.3 million

(4) 2.3 million

(5) 3 million

Show Answer

Correct Answer: (3)

Solution: (3)

Total population of state $P=$ $x$ millions

$\therefore$ Population below poverty line $=\frac{35 x}{100}$

Female population $=\frac{6}{11} \times \frac{35 x}{100}$

$\therefore \frac{6 \times 35 x}{1100}=2.1$

$\Rightarrow 6 \times 35 x=2.1 \times 1100$

$\Rightarrow x=\frac{2.1 \times 1100}{35 \times 6}$ $=11$ millions

$\therefore$ Population above poverty line $=\frac{11 \times 65}{100}$ millions

$\therefore$ Male population $=\frac{11 \times 65}{100} \times \frac{6}{13}=3.3$ millions

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