Calculating Illiterate Population in City A

This problem asks us to find the number of illiterate people in City A based on the provided data distribution table for six cities. The table gives the percentage distribution of total population, literate males, and literate females across these cities.

We are given the following total values:

• Total Population (all six cities): 1.5 crore = 1,50,00,000
• Total Literate Males (all six cities): 40 lakh = 40,00,000
• Total Literate Females (all six cities): 25 lakh = 25,00,000

The ratio of males to females in the total population (8:7) is extra information not directly needed for this specific calculation about City A's illiterate population, as we are given the percentages for total population and literate populations separately.

Data Table Overview

Let's look at the relevant data for City A from the table:

Step-by-Step Calculation for City A

To find the illiterate population of City A, we need to calculate the total population of City A and subtract the total literate population of City A.

1. Calculate Total Population of City A

City A accounts for 16% of the total population of 1.5 crore.

Total Population in City A = 16% of 1,50,00,000

Calculation: $\frac{16}{100} \times 1,50,00,000 = \frac{16 \times 1,50,000}{1} = 24,00,000$

So, the total population of City A is 24,00,000 or 24 lakh.

2. Calculate Literate Males in City A

City A accounts for 18% of the total literate males (40 lakh).

Literate Males in City A = 18% of 40,00,000

Calculation: $\frac{18}{100} \times 40,00,000 = \frac{18 \times 40,000}{1} = 7,20,000$

So, there are 7,20,000 literate males in City A or 7.2 lakh.

3. Calculate Literate Females in City A

City A accounts for 24% of the total literate females (25 lakh).

Literate Females in City A = 24% of 25,00,000

Calculation: $\frac{24}{100} \times 25,00,000 = \frac{24 \times 25,000}{1} = 6,00,000$

So, there are 6,00,000 literate females in City A or 6 lakh.

4. Calculate Total Literate Population in City A

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

Calculation: $7,20,000 + 6,00,000 = 13,20,000$

So, the total literate population in City A is 13,20,000 or 13.2 lakh.

5. Calculate Illiterate Population in City A

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

Calculation: $24,00,000 - 13,20,000 = 10,80,000$

So, the illiterate population of City A is 10,80,000 or 10.8 lakh.

The calculated illiterate population of City A is 10.8 lakh.

Revision Table: Key Calculations for City A

Additional Information on Population Data Interpretation

Data interpretation questions often involve understanding percentages, ratios, and large numbers like crore and lakh. Being comfortable with these units and how to calculate percentages is crucial.

• Crore and Lakh: A crore is equal to 10 million (1,00,00,000), and a lakh is equal to one hundred thousand (1,00,000). It's helpful to convert these to numbers with zeros for calculation or work with them as crore/lakh consistently.
• Percentage Calculation: To find X% of a number N, the formula is $\frac{X}{100} \times N$.
• Literacy Rate: The literacy rate of a population is the percentage of individuals who can read and write. Illiteracy is the opposite, representing those who cannot. The sum of literate and illiterate populations gives the total population.
• Ratio: A ratio compares two quantities. The 8:7 ratio of males to females in the total population could be used to find the total number of males and females across all six cities, but it was not required for this specific problem about City A's illiterates.

Understanding how different percentages relate to different base values (total population, total literate males, total literate females) is key in solving such problems accurately.