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 average of the total number of literates in Cities A, B, C and E together is (in lakhs)
1.67
To find the average of the total number of literates in Cities A, B, C, and E together, we need to first calculate the number of literates for each city using the given ratios and then find the average.
Step-by-step Calculation:
- For City A:
- Total population = 5.0 lakhs
- Ratio of literates to illiterates = 1:4
- Total parts = 1 + 4 = 5
- Number of literates = \frac{1}{5} \times 5.0 = 1.0 lakh
- For City B:
- Total population = 3.6 lakhs
- Ratio of literates to illiterates = 4:1
- Total parts = 4 + 1 = 5
- Number of literates = \frac{4}{5} \times 3.6 = 2.88 lakhs
- For City C:
- Total population = 2.8 lakhs
- Ratio of literates to illiterates = 2:5
- Total parts = 2 + 5 = 7
- Number of literates = \frac{2}{7} \times 2.8 \approx 0.8 lakhs
- For City E:
- Total population = 5.0 lakhs
- Ratio of literates to illiterates = 2:3
- Total parts = 2 + 3 = 5
- Number of literates = \frac{2}{5} \times 5.0 = 2.0 lakhs
Calculate the Average:
The total number of literates in Cities A, B, C, and E = 1.0 + 2.88 + 0.8 + 2.0 = 6.68 lakhs
Average = \frac{6.68}{4} = 1.67 lakhs
Conclusion:
The average number of literates in Cities A, B, C, and E together is 1.67 lakhs.
Correct Answer: 1.67
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