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If the male population above poverty line for state R is 1.9 million, then the total population of the state R is:
Answer & Solution
Correct 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
$$\eqalign{ & \therefore \frac{2}{5}\times\left(\frac{76}{100}\times x\right) = 1.9 \cr & \Rightarrow x = \frac{5\times100\times1.9}{76\times2} \cr & \Rightarrow x = 6.25 \cr} $$
∴ Total population of state R = 6.25 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
$$\eqalign{ & \therefore \frac{2}{5}\times\left(\frac{76}{100}\times x\right) = 1.9 \cr & \Rightarrow x = \frac{5\times100\times1.9}{76\times2} \cr & \Rightarrow x = 6.25 \cr} $$
∴ Total population of state R = 6.25 million
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