Understanding the Data Distribution

The question provides data about the percentage distribution of total population, literate males, and literate females across six cities (A-F). We are also given the total numbers for population, literate males, and literate females across all six cities combined.

The total population is 1.5 crore (15,000,000). The total number of literate males is 40 lakh (4,000,000). The total number of literate females is 25 lakh (2,500,000).

The table shows how these totals are distributed as percentages in each city.

Calculating Literate Males in City E

We need to find the number of literate males in City E. The table shows that 19% of the total literate males are in City E. The total number of literate males across all cities is 40 lakh.

Number of Literate Males in City E = 19% of 40 lakh

We calculate this as:

\(\text{Literate Males (City E)} = \frac{19}{100} \times 40,00,000\)

\(\text{Literate Males (City E)} = 0.19 \times 40,00,000\)

\(\text{Literate Males (City E)} = 7,60,000\)

So, there are 7,60,000 literate males in City E.

Calculating Literate Females in City F

Next, we need to find the number of literate females in City F. The table shows that 10% of the total literate females are in City F. The total number of literate females across all cities is 25 lakh.

Number of Literate Females in City F = 10% of 25 lakh

We calculate this as:

\(\text{Literate Females (City F)} = \frac{10}{100} \times 25,00,000\)

\(\text{Literate Females (City F)} = 0.10 \times 25,00,000\)

\(\text{Literate Females (City F)} = 2,50,000\)

So, there are 2,50,000 literate females in City F.

Finding the Percentage

The question asks for the number of literate males of City E as a percentage of the number of literate females of City F.

This is calculated as:

\(\text{Percentage} = \left( \frac{\text{Number of Literate Males in City E}}{\text{Number of Literate Females in City F}} \right) \times 100\%\)

Substitute the calculated values:

\(\text{Percentage} = \left( \frac{7,60,000}{2,50,000} \right) \times 100\%\)

Simplify the fraction:

\(\text{Percentage} = \left( \frac{760}{250} \right) \times 100\%\)

\(\text{Percentage} = \left( \frac{76}{25} \right) \times 100\%\)

\(\text{Percentage} = 3.04 \times 100\%\)

\(\text{Percentage} = 304\%\)

Thus, the number of literate males of City E is 304% of the number of literate females of City F.

Revision Table: Key Calculations

Additional Information: Data Interpretation Tips

Data Interpretation questions require careful reading of the question and the data provided. Here are some tips:

• Read the question carefully to understand exactly what is being asked. Pay attention to keywords like "percentage of", "ratio", "difference", "average", etc.
• Understand the units and totals. Note down the base values from which percentages are calculated (e.g., 1.5 crore total population, 40 lakh total literate males).
• Locate the relevant data points in the table or chart quickly.
• Perform calculations accurately. Use fractions or decimals as appropriate.
• For percentage questions, remember that "A as a percentage of B" is calculated as \((A/B) \times 100\%\).
• Break down complex problems into smaller steps.
• Double-check your calculations, especially when dealing with large numbers.