`96%` population of a village is 7680.Find the total population of the village.

Answer

To find the total population of the village given that 96% of it is 7680, we can follow these steps:

### Step 1: Understand the relationship between the percentage and the total population.
We know that 96% of the total population (let's call it P) is equal to 7680. This can be expressed mathematically as:
\[ 0.96 \times P = 7680 \]

### Step 2: Solve for the total population (P).
To find P, we can rearrange the equation:
\[ P = \frac{7680}{0.96} \]

### Step 3: Calculate the value of P.
Now we need to perform the division:
\[ P = \frac{7680}{0.96} \]

To simplify the calculation, we can multiply both the numerator and the denominator by 100 to avoid dealing with decimals:
\[ P = \frac{7680 \times 100}{96} \]
\[ P = \frac{768000}{96} \]

### Step 4: Perform the division.
Now we will divide 768000 by 96:
\[ P = 8000 \]

### Conclusion:
The total population of the village is 8000.

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