The table below shows the number of persons (in lakhs) in six cities A-F, along with the ratio of males to females, and literates to illiterates in these cities in the year 2020. Based on the data in the table, answer the question: City wise Distribution of PopulationCity Number of Persons (in Lakhs) Ratio Males : Females Literates : Illiterates A 5.0 3 : 2 1 : 4 B 3.6 4 : 6 4 : 1 C 2.8 3 : 4 2 : 5 D 4.5 5 : 4 3 : 2 E 5.0 2 : 3 2 : 3 F 3.0 2 : 1 7 : 3
The ratio of the number of literates in City-F to that of City-A is:
21 : 10
To solve this problem, we need to determine the ratio of literates in City-F to those in City-A based on the given data:
- First, understand the given data for the cities. We have the total number of persons and the ratios of literates to illiterates in each city.
- Let's extract the relevant data:
- City A:
- Total population = 5.0 lakhs
- Ratio of literates to illiterates = \(1 : 4\)
- City F:
- Total population = 3.0 lakhs
- Ratio of literates to illiterates = \(7 : 3\)
- City A:
- Calculate the number of literates in each city using the ratio formula. The formula to calculate literates is:
City A:
- Given the ratio \(1 : 4\), the number of parts = 1 (literate) + 4 (illiterate) = 5 parts.
- The number of literates = Total population * (Literate part/Total parts) = 5.0 lakhs * (\(1/5\)) = 1.0 lakh.
City F:
- Given the ratio \(7 : 3\), the number of parts = 7 (literate) + 3 (illiterate) = 10 parts.
- The number of literates = Total population * (Literate part/Total parts) = 3.0 lakhs * (\(7/10\)) = 2.1 lakhs.
Now, calculate the ratio of literates between City-F and City-A:
- Ratio of literates in City-F to City-A = Number of literates in City-F / Number of literates in City-A = \(\frac{2.1}{1.0}\)
- Simplifying, it gives \(21 : 10\).
Thus, the correct answer is 21 : 10.
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