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The table given below shows the percent...

The table given below shows the percent-age of literate people in 6 cities . This table also shows the ratio of males to females among literate people .
`{:("City","%of literate people ","Males : Females"),(" " 1," "80," "4:5),(" "2," "85," "7 :4),(" "3," "78," "3 : 2),(" "4," "63," "1 : 1),(" "5," "92," "9 : 7 ),(" "6 ," "58," "2 : 3):}`
% of literate people of any city = (Literate people of the city / Total population of the city ) `xx 100`
The populations of the 6 cit-ies are 250000, 200000, 220000, 300000, 150000 and 400000 respectively. Which is the correct order of the number of literate people in these cities ?

A

City 6 `gt` City 1 `gt` City 4 `gt `City 2 `gt` City 3 `gt` City 5

B

City 4 `gt ` City 6 `gt` City 1 `gt` City 2 `gt` City 3 `gt` City 5

C

City 6 `gt` City 4 `gt` City 1` gt` City 3 `gt` City 2 `gt` City 5

D

City 6 `gt` City 1 `gt` City 4` gt` City 3 `gt` City 2 `gt` City 5

Text Solution

AI Generated Solution

The correct Answer is:
To find the correct order of the number of literate people in the six cities based on the given data, we will follow these steps: ### Step 1: Calculate the number of literate people for each city. We will use the formula: \[ \text{Number of literate people} = \left(\frac{\text{Percentage of literate people}}{100}\right) \times \text{Total population of the city} \] ### Step 2: Perform the calculations for each city. 1. **City 1**: - Percentage of literate people = 80% - Total population = 250,000 \[ \text{Literate people} = \left(\frac{80}{100}\right) \times 250,000 = 200,000 \] 2. **City 2**: - Percentage of literate people = 85% - Total population = 200,000 \[ \text{Literate people} = \left(\frac{85}{100}\right) \times 200,000 = 170,000 \] 3. **City 3**: - Percentage of literate people = 78% - Total population = 220,000 \[ \text{Literate people} = \left(\frac{78}{100}\right) \times 220,000 = 171,600 \] 4. **City 4**: - Percentage of literate people = 63% - Total population = 300,000 \[ \text{Literate people} = \left(\frac{63}{100}\right) \times 300,000 = 189,000 \] 5. **City 5**: - Percentage of literate people = 92% - Total population = 150,000 \[ \text{Literate people} = \left(\frac{92}{100}\right) \times 150,000 = 138,000 \] 6. **City 6**: - Percentage of literate people = 58% - Total population = 400,000 \[ \text{Literate people} = \left(\frac{58}{100}\right) \times 400,000 = 232,000 \] ### Step 3: Compile the results. - City 1: 200,000 literate people - City 2: 170,000 literate people - City 3: 171,600 literate people - City 4: 189,000 literate people - City 5: 138,000 literate people - City 6: 232,000 literate people ### Step 4: Order the cities based on the number of literate people. - City 6: 232,000 - City 1: 200,000 - City 4: 189,000 - City 3: 171,600 - City 2: 170,000 - City 5: 138,000 ### Final Order: The correct order of the number of literate people in these cities is: 1. City 6 2. City 1 3. City 4 4. City 3 5. City 2 6. City 5
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