Question : The following table shows the percentage of the population of five states below the poverty line and the proportion of males and females below and above the poverty line.
If the population of State B and State C is 6,000 each, then what is the total number of females below the poverty line in these two states?
Option 1: 720
Option 2: 780
Option 3: 740
Option 4: 750
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Correct Answer: 780
Solution : Population of State B = 6000 Percentage of people below the poverty line in State B = 13% Number of people below the poverty line in State B = 13% of 6000 = 780 The ratio of males to females in State B below the poverty line = 8 : 5 Number of females below poverty line in State B = $\frac{5}{5+8}\times 780=300$ Population of State C = 6000 Percentage of people below the poverty line in State C = 26% Number of people below the poverty line in State C = 26% of 6000 = 1560 The ratio of males to females in State C below the poverty line = 9 : 4 Number of females below poverty line in State C = $\frac{4}{4+9}\times 1560=480$ Total number of females below the poverty line in States B and C = 300 + 480 = 780 Hence, the correct answer is 780.
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