Calculating the Difference in Illiterate and Literate Population in City C

This problem requires us to analyze the provided data table showing the percentage distribution of total population, literate males, and literate females across six cities. We are given the total figures for each category across all cities and the male to female ratio in the total population. We need to find the difference between the illiterate population and the literate population specifically for City C.

Understanding the Given Data

First, let's note down the total numbers provided:

• Total population across all six cities = 1.5 crore = 1,50,00,000
• Total literate males across all six cities = 40 lakh = 40,00,000
• Total literate females across all six cities = 25 lakh = 25,00,000

The table gives us the percentage distribution for each city. Let's focus on City C's data from the table:

Step-by-Step Calculation for City C

1. Calculate the Total Population of City C

City C has 21% of the total population of 1.5 crore.

Total Population of City C = $21\% \text{ of } 1,50,00,000$

Total Population of City C = $\frac{21}{100} \times 1,50,00,000 = 21 \times 1,50,000 = 31,50,000$

2. Calculate the Number of Literate Males in City C

City C has 20% of the total literate males of 40 lakh.

Literate Males in City C = $20\% \text{ of } 40,00,000$

Literate Males in City C = $\frac{20}{100} \times 40,00,000 = \frac{1}{5} \times 40,00,000 = 8,00,000$

3. Calculate the Number of Literate Females in City C

City C has 12% of the total literate females of 25 lakh.

Literate Females in City C = $12\% \text{ of } 25,00,000$

Literate Females in City C = $\frac{12}{100} \times 25,00,000 = 12 \times 25,000 = 3,00,000$

4. Calculate the Total Literate Population in City C

The total literate population in City C is the sum of literate males and literate females in City C.

Total Literate Population in City C = Literate Males in City C + Literate Females in City C

Total Literate Population in City C = $8,00,000 + 3,00,000 = 11,00,000$

5. Calculate the Illiterate Population in City C

The illiterate population is the total population minus the literate population.

Illiterate Population in City C = Total Population in City C - Total Literate Population in City C

Illiterate Population in City C = $31,50,000 - 11,00,000 = 20,50,000$

6. Calculate the Difference between Illiterate and Literate Population in City C

We need to find the difference between the illiterate population and the literate population in City C.

Difference = Illiterate Population in City C - Literate Population in City C

Difference = $20,50,000 - 11,00,000 = 9,50,000$

The difference is 9,50,000, which is equal to 9.5 lakh.

Summary of Results for City C

• Total Population: 31,50,000
• Literate Population: 11,00,000
• Illiterate Population: 20,50,000
• Difference (Illiterate - Literate): 9,50,000

The difference between the illiterate population and the literate population of City C is 9.5 lakh.

Revision Table: Key Data Points and Calculations

Additional Information: Understanding Data Interpretation

Data interpretation questions often involve extracting specific information from tables, charts, or graphs and performing calculations based on that data. Key skills required include:

• Reading and understanding the provided data accurately.
• Identifying the relevant figures and percentages needed for the calculation.
• Performing basic arithmetic operations (addition, subtraction, multiplication, division) and percentage calculations.
• Converting between different units (e.g., crore to lakh).
• Breaking down complex problems into smaller, manageable steps.

In this problem, we used the percentage distribution for City C to calculate the absolute numbers of total population, literate males, and literate females, and then used these numbers to find the illiterate population and the final difference.