Multiple choice

The following table gives the percentage distribution of population of five states P, Q, R, S and T on the basis of poverty line and gender. If the male population above poverty line for state R is 1.9 million, then what is the total population of state R? 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 Q 25 3 : 5 4 : 5 R 24 1 : 2 2 : 3 S 19 3 : 2 4 : 3 T 15 5 : 3 3 : 2

  1. 6.25 million

  2. 5.35 million

  3. 4.5 million

  4. 4.85 million
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A Correct answer
Explanation

For state R, 24% are below poverty line, 76% above. Male:Female ratio above poverty line is 2:3. Males above poverty line = (2/5) * 76% of Total = 1.9 million. (2/5) * 0.76 * Total = 1.9 => 0.304 * Total = 1.9 => Total = 1.9 / 0.304 = 6.25 million.

AI explanation

For state R, 24% of the population is below the poverty line, so 76% of the population is above the poverty line. The ratio of males to females above the poverty line is 2:3, which means males make up 2/5 of the population above the poverty line. Let the total population be P, so 76/100 * P * 2/5 = 1.9 million. Solving for P gives 0.304P = 1.9, meaning P = 1.9 / 0.304 = 6.25 million. The total population of state R is 6.25 million.

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