`96%` of the population of a village is 23040. The total population of the village is…

Options

A. 32256
B. 24000
C. 24936
D. 25640

Answer

To find the total population of the village when 96% of it is given as 23,040, we can follow these steps:

### Step 1: Understand the relationship between percentage and total
We know that 96% of the total population (let's denote it as P) is equal to 23,040. This can be expressed mathematically as:
\[ 0.96 \times P = 23040 \]

### Step 2: Isolate the total population (P)
To find P, we need to isolate it in the equation. We can do this by dividing both sides of the equation by 0.96:
\[ P = \frac{23040}{0.96} \]

### Step 3: Calculate the total population
Now, we can perform the division:
\[ P = \frac{23040}{0.96} \]

To make the calculation easier, we can convert 0.96 to a fraction:
\[ 0.96 = \frac{96}{100} = \frac{24}{25} \]

So, we can rewrite the equation:
\[ P = 23040 \times \frac{25}{24} \]

Now, calculate \( 23040 \times \frac{25}{24} \):
1. First, divide 23040 by 24:
\[ 23040 \div 24 = 960 \]
2. Now, multiply by 25:
\[ 960 \times 25 = 24000 \]

Thus, the total population of the village is:
\[ P = 24000 \]

### Final Answer
The total population of the village is **24,000**.

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