Question : The following table shows the percentage of the population of four states below the poverty line and the proportion of males and females below and above the poverty line.
State | Percentage of Population Below Poverty Line |
Proportion of Males and Females | |
Below Poverty Line | Above Poverty Line | ||
Males: Females | Males: Females | ||
A | 10% | 2 : 3 | 4 : 5 |
B | 25% | 3 : 5 | 3 : 2 |
C | 28% | 1 : 4 | 5 : 3 |
D | 38% | 7 : 1 | 7 : 4 |
If the total population of state B is 7,200, then what is the number of females below the poverty line in that state?
Option 1: 1,025
Option 2: 1,125
Option 3: 1,075
Option 4: 1,250
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Correct Answer: 1,125
Solution :
According to the question:
Total population of state B = 7,200
The percentage of the population below the poverty line of state B = 25%
Population below the poverty line = $7200\times\frac{25}{100} = 1800$
The proportion of males and females below the poverty line in state B = 3 : 5
$\therefore$ No. of females = 1800$\times \frac{5}{8}$ = 1125
Hence, the correct answer is 1,125.