Question : The following table shows the percentage population of four towns below the poverty line and the proportion of males and females:
Town | Percentage of the population below the poverty line | Below Poverty line | Above Poverty line |
Male: Female | Male: Female | ||
A | 10 | 1 : 3 | 3 : 2 |
B | 15 | 3 : 4 | 1 : 2 |
C | 20 | 2 : 3 | 5 : 3 |
D | 25 | 4 : 5 | 5 : 4 |
If the total population of town C is 8000, then what is the number of females above the poverty line in state C?
Option 1: 2000
Option 2: 2200
Option 3: 2400
Option 4: 2600
Correct Answer: 2400
Solution :
Total population of C = 8000
Population above the poverty line in C = 80%
80% of C = $\frac{80}{100}\times8000$
= 6400
Number of females above the poverty line = $\frac{\text{Ratio of females above the poverty line}}{\text{Sum of the ratio of males and females above the poverty line }}\times$population above the poverty line
= $\frac{3}{8}\times6400$
= 2400
Hence, the correct answer is 2400.
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