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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.

State Percentage of the Population Below the Poverty Line Proportion of Males and Females
Below Poverty Line Above Poverty Line
    Males: Females Males: Females
A 25% 7 : 3 1 : 5
B 13% 8 : 5 1 : 7
C 26% 9 : 4 2 : 11
D 11% 4 : 3 13 : 4
E 17% 5 : 9 3 : 2


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


Team Careers360 11th Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

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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