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 |
If the male population above poverty line for state ‘C’ is 1.9 million, then what is the total population of state ‘C’?
Answer: A. 6.25 million — ConceptWhen a total is divided into a percentage group and then by a ratio, multiply the group percentage by the required ratio share. If a known subgroup…
- A.
6.25 million
- B.
5.35 million
- C.
4.85 million
- D.
4.5 million
Attempted by 1 students.
Show answer & explanation
Correct answer: A
Concept
When a total is divided into a percentage group and then by a ratio, multiply the group percentage by the required ratio share. If a known subgroup equals a fraction p of the total, then total = known subgroup ÷ p.
Application
For state C, 24% of the population is below the poverty line, so 100% − 24% = 76% is above the poverty line.
Among the population above the poverty line, the male-to-female ratio is 2 : 3. Therefore, the male share is 2/(2 + 3) = 2/5.
Thus, males above the poverty line form 76% × 2/5 = 30.4% = 0.304 of the total population.
Let the total population be P million. Then 0.304P = 1.9, so P = 1.9/0.304 = 6.25 million.
Cross-check
For a total of 6.25 million, 76% is 4.75 million above the poverty line.
The male share is 2/5, and 2/5 of 4.75 million is 1.90 million, matching the given value.
Therefore, the total population of state C is 6.25 million.