This problem involves analyzing data presented in a table showing the percentage distribution of total population, literate males, and literate females across six cities (A-F). We are given the total values for all six cities combined and the percentage distribution for each city.

We need to find the literate population of City E as a percentage of the total population of City E.

Understanding the Data and Question

The provided table gives us the following information for City E:

• Percentage of total population in City E: 20%
• Percentage of literate males in City E: 19%
• Percentage of literate females in City E: 20%

The total values across all six cities are:

• Total Population: 1.5 crore (which is $1.5 \times 10^7$ or $15,000,000$)
• Total Literate Males: 40 lakh (which is $40 \times 10^5$ or $4,000,000$)
• Total Literate Females: 25 lakh (which is $25 \times 10^5$ or $2,500,000$)

The question asks for the ratio of the total literate population in City E to the total population in City E, expressed as a percentage.

Calculating Population Data for City E

Step 1: Calculate Total Population of City E

The total population across all cities is $1.5$ crore. City E accounts for $20\%$ of this total population.

Total Population of City E = $20\%$ of $1.5$ crore

Total Population of City E = $\frac{20}{100} \times 1.5 \times 10^7$

Total Population of City E = $0.20 \times 15,000,000$

Total Population of City E = $3,000,000$

Step 2: Calculate Literate Males in City E

The total number of literate males across all cities is $40$ lakh. City E accounts for $19\%$ of this total literate male population.

Literate Males in City E = $19\%$ of $40$ lakh

Literate Males in City E = $\frac{19}{100} \times 40 \times 10^5$

Literate Males in City E = $0.19 \times 4,000,000$

Literate Males in City E = $760,000$

Step 3: Calculate Literate Females in City E

The total number of literate females across all cities is $25$ lakh. City E accounts for $20\%$ of this total literate female population.

Literate Females in City E = $20\%$ of $25$ lakh

Literate Females in City E = $\frac{20}{100} \times 25 \times 10^5$

Literate Females in City E = $0.20 \times 2,500,000$

Literate Females in City E = $500,000$

Step 4: Calculate Total Literate Population in City E

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

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

Total Literate Population in City E = $760,000 + 500,000$

Total Literate Population in City E = $1,260,000$

Calculating Percentage of Literate Population in City E

Now we need to find what percentage the total literate population in City E is of the total population in City E.

Percentage of Literate Population in City E = $\left( \frac{\text{Total Literate Population in City E}}{\text{Total Population in City E}} \right) \times 100\%$

Percentage of Literate Population in City E = $\left( \frac{1,260,000}{3,000,000} \right) \times 100\%$

Percentage of Literate Population in City E = $\left( \frac{126}{300} \right) \times 100\%$

Percentage of Literate Population in City E = $\frac{126}{3} \%$

Percentage of Literate Population in City E = $42\%$

Thus, the literate population of City E is $42\%$ of the population of City E.

Here is a summary of the calculated values for City E:

Revision Table: Population and Literacy Data Analysis

Understanding how to calculate absolute values from percentage distributions based on given totals is key to solving data interpretation problems like this one. Always ensure you are using the correct base total for each percentage calculation (total population for city population, total literate males for literate males, etc.).

Additional Information: Data Interpretation Concepts

Data interpretation questions often require calculating percentages, ratios, averages, and absolute values from tables or charts. It's important to carefully read the question and identify exactly what needs to be calculated. In this case, we needed to find a percentage relative to a specific city's population, not the total population across all cities.

• Percentage Distribution: Shows how a total quantity is divided among different categories.
• Absolute Value: The actual numerical value derived from applying the percentage to the total base value.
• Ratio: Compares two quantities (like the ratio of males to females given as $8:7$, though this was not needed to answer the specific question about City E's literacy rate).

Practicing with different types of data interpretation sets helps build speed and accuracy.