If `25%` of a no. is subtracted from itself the result becomes `6321`. Find the original no.

Options

A. `8529`
B. `8429`
C. `8428`
D. `8528`

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Define the original number
Let the original number be represented as \( x \).

### Step 2: Set up the equation
According to the problem, if 25% of the number is subtracted from itself, the result is 6,321. We can express this mathematically as:
\[ x - 25\% \text{ of } x = 6321 \]
This can be rewritten as:
\[ x - \frac{25}{100}x = 6321 \]

### Step 3: Simplify the equation
We know that \( \frac{25}{100} \) simplifies to \( \frac{1}{4} \). Therefore, we can rewrite the equation as:
\[ x - \frac{1}{4}x = 6321 \]
This simplifies to:
\[ \frac{3}{4}x = 6321 \]

### Step 4: Solve for \( x \)
To isolate \( x \), we can multiply both sides of the equation by \( \frac{4}{3} \):
\[ x = 6321 \times \frac{4}{3} \]

### Step 5: Calculate the value of \( x \)
Now, we perform the multiplication:
\[ x = 6321 \times \frac{4}{3} = \frac{6321 \times 4}{3} \]
Calculating \( 6321 \times 4 \):
\[ 6321 \times 4 = 25284 \]
Now divide by 3:
\[ x = \frac{25284}{3} = 8428 \]

### Conclusion
The original number is \( 8428 \).

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