Understanding the Population Data for State A

The question asks us to find the male population above the poverty line for state 'A', given specific information about its population distribution and the number of females below the poverty line. We need to carefully use the data provided in the table for State A.

Let's extract the relevant data points for State 'A' from the table:

From the table, we know:

• 35% of the population of State A is below the poverty line.
• This means the remaining percentage, \(100\% - 35\% = 65\%\), of the population is above the poverty line.
• The ratio of Males to Females below the poverty line in State A is 5:6.
• The ratio of Males to Females above the poverty line in State A is 6:7.

Step-by-Step Calculation for State A

We are given that the female population below poverty line for state ‘A’ is 2.1 million. We can use this information along with the male-female ratio below the poverty line to find the total population below the poverty line for State A.

Step 1: Calculate the total population below poverty line for State A.

The ratio of Males to Females below poverty line is 5:6. This means for every 6 parts of females, there are 5 parts of males. The total parts representing the population below poverty line is \(5 + 6 = 11\).

Given: Female population below poverty line = 2.1 million.

This 2.1 million corresponds to the 6 parts of females in the ratio.

Value of 1 part = \( \frac{2.1 \text{ million}}{6} = 0.35 \text{ million} \)

Total population below poverty line = Total parts \( \times \) Value of 1 part

Total population below poverty line = \( 11 \times 0.35 \text{ million} = 3.85 \text{ million} \)

Step 2: Calculate the total population of State A.

The population below poverty line (3.85 million) represents 35% of the total population of State A.

Let \(P_{\text{Total}}\) be the total population of State A.

\( 35\% \text{ of } P_{\text{Total}} = 3.85 \text{ million} \)

\( 0.35 \times P_{\text{Total}} = 3.85 \)

\( P_{\text{Total}} = \frac{3.85}{0.35} = \frac{385}{35} = 11 \text{ million} \)

The total population of State A is 11 million.

Step 3: Calculate the total population above poverty line for State A.

The population above poverty line is 65% of the total population.

Population above poverty line = \( 65\% \text{ of } 11 \text{ million} \)

Population above poverty line = \( 0.65 \times 11 \text{ million} = 7.15 \text{ million} \)

Alternatively, Total Population - Population Below Poverty Line = \( 11 \text{ million} - 3.85 \text{ million} = 7.15 \text{ million} \)

Step 4: Calculate the male population above poverty line for State A.

The ratio of Males to Females above poverty line in State A is 6:7. The total population above poverty line is 7.15 million.

The total parts representing the population above poverty line is \(6 + 7 = 13\).

The male population above poverty line corresponds to 6 parts out of 13 parts.

Male population above poverty line = \( \frac{6}{13} \times \text{Total population above poverty line} \)

Male population above poverty line = \( \frac{6}{13} \times 7.15 \text{ million} \)

Male population above poverty line = \( \frac{6 \times 7.15}{13} \text{ million} = \frac{42.9}{13} \text{ million} = 3.3 \text{ million} \)

Therefore, the male population above the poverty line for state ‘A’ is 3.3 million.

Conclusion

Based on the given data and calculations, the male population above the poverty line for state 'A' is 3.3 million.

Revision Table: Key Calculations for State A

Additional Information: Understanding Population Data Analysis

Analyzing population data from tables like this involves several key concepts:

• Percentages: Representing a part of a whole out of 100. Understanding how percentages relate to the total population is crucial.
• Ratios: Expressing the relative size of two or more values. Ratios like Male:Female allow us to divide a group into proportional parts.
• Proportions: Equations stating that two ratios are equal. We use proportions indirectly when calculating the value of 'one part' from a given total or subtotal based on a ratio.
• Data Interpretation: The ability to read and understand information presented in tables, charts, and graphs. This involves extracting relevant data and performing calculations based on the relationships shown.

Solving problems like this requires combining information from different parts of the table and using logical steps to find the required value. It's common in quantitative aptitude sections of exams.