Consider the following table that embodies details about the percentage…
2022
Consider the following table that embodies details about the percentage distribution of population of five states A-E on the basis of poverty line and gender. In accordance with the data in the table, answer the questions 1-5:
State-wise Distribution of Population
State | Percentage (%) of Population Below Poverty Line | Below Poverty Line — M : F | Above Poverty Line — 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 |
What will be the male population above poverty line for state ‘A’ if the female population below poverty line for state ‘A’ is 2.1 million?
Answer: B. 3.3 million — ConceptWhen a subgroup is given in a ratio, one ratio part equals the known subgroup value divided by its number of ratio parts. A percentage share converts a…
- A.
2.3 million
- B.
3.3 million
- C.
4.4 million
- D.
6.6 million
Attempted by 3 students.
Show answer & explanation
Correct answer: B
Concept
When a subgroup is given in a ratio, one ratio part equals the known subgroup value divided by its number of ratio parts.
A percentage share converts a subgroup total to the overall total, while the complementary percentage gives the remaining group total.
Application
For the below-poverty population of state A, 6 female parts equal 2.1 million, so 1 part = 2.1 ÷ 6 = 0.35 million.
The male share below the poverty line is 5 parts, so it is 5 × 0.35 = 1.75 million. Thus the total below-poverty population is 1.75 + 2.1 = 3.85 million.
This 3.85 million is 35% of the state's population. Therefore, total population = 3.85 ÷ 0.35 = 11 million.
The population above the poverty line is the remaining 65%, so it is 11 × 0.65 = 7.15 million.
Above the poverty line, the male-to-female ratio is 6 : 7. Hence male population = 7.15 × 6 ÷ 13 = 3.3 million.
Cross-check
The corresponding female population above the poverty line is 7.15 × 7 ÷ 13 = 3.85 million; 3.3 + 3.85 = 7.15 million, confirming the 65% above-poverty total.
Result
Therefore, the male population above the poverty line in state A is 3.3 million.