Data Interpretation Ques 248

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 $5: 3$ $3: 2$

In state $R$ female population above poverty line is by what per cent more than that below poverty line?

(1) 185

(2) 85

(3) 105

(4) 160

(5) 125

Show Answer

Correct Answer: (1)

Solution: (1)

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

Population below poverty line $=\frac{24 x}{100}$ millions

Females $=\frac{2}{3} \times \frac{24 x}{100}$ millions $=\frac{4 x}{25}$ millions

Population above poverty line $=\frac{76 x}{100}=\frac{19 x}{25}$ millions

Females $=\frac{3}{5} \times \frac{19 x}{25}$ $=\frac{57 x}{125}$ millions

Difference $=\frac{57 x}{125}-\frac{4 x}{25}$ $=\frac{57 x-20 x}{125}=\frac{37 x}{125}$ millions

$\therefore$ Required per cent $=\frac{\frac{37 x}{125}}{\frac{4 x}{25}} \times 100$ $=\frac{37 x}{125} \times \frac{25}{4 x} \times 100=185 \%$

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