Percentage of population of five states A–E below the poverty line, and Male:Female ratios below and above the poverty line.
| State | Below Poverty Line (%) | BPL M:F | APL M:F |
|---|---|---|---|
| A | 35% | 5:6 | 6:7 |
| B | 25% | 3:5 | 4:5 |
| C | 24% | 1:2 | 2:3 |
| D | 19% | 3:2 | 5:3 |
| E | 15% | 5:3 | 3:2 |
If the male population above the poverty line for State C is 1.9 million, then what is the total population of State C?
A6.25 million ✓ Correct
B5.35 million
C4.85 million
D4.5 million
Correct answer: (A) 6.25 million
Explanation
State C has 24 percent below the poverty line, so 76 percent are above it.
Above the poverty line the male to female ratio in State C is 2 to 3.
So males are 2 by 5 of the above-poverty population.
Let the total population be x, so above-poverty males equal x times 0.76 times 2 by 5.
This simplifies to 38 by 125 times x, set equal to 1.9 million.
Solving gives x equal to 6.25 million.
Working backward from a known sub-group to the total needs both percentages reversed.
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