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`
If the total population of city 4 is 600000, then how many literate people are there in city 4 ?

Options

A. 480000
B. 378000
C. 468000
D. 348000

Answer

To find the number of literate people in city 4, we can follow these steps:

### Step 1: Understand the formula
We know that the percentage of literate people in a city is given by the formula:
\[ \text{Percentage of literate people} = \left(\frac{\text{Literate people in the city}}{\text{Total population of the city}}\right) \times 100 \]

### Step 2: Identify the values for city 4
From the table, we see that for city 4:
- Percentage of literate people = 63%
- Total population of city 4 = 600,000

### Step 3: Set up the equation
Using the formula, we can set up the equation for city 4:
\[ 63 = \left(\frac{\text{Literate people in city 4}}{600000}\right) \times 100 \]

### Step 4: Simplify the equation
To eliminate the percentage, we can multiply both sides of the equation by 600,000:
\[ 63 \times 600000 = \text{Literate people in city 4} \times 100 \]

### Step 5: Solve for literate people
Now, we can simplify the left side:
\[ \text{Literate people in city 4} = \frac{63 \times 600000}{100} \]

### Step 6: Calculate the result
Calculating the right side:
\[ \text{Literate people in city 4} = 63 \times 6000 = 378000 \]

### Final Answer
Thus, the number of literate people in city 4 is **378,000**.

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