If `10%` of a number is subtract from itself then result becomes `5670`. Find the original no.

Options

A. `6300`
B. `6705`
C. `6507`
D. `6750`

Answer

To solve the problem step by step, we need to find the original number based on the information given in the question.

### Step 1: Understand the problem
We are told that 10% of a number is subtracted from the number itself, and the result is 5670. Let's denote the original number as \( x \).

### Step 2: Write the equation
According to the problem, if we subtract 10% of \( x \) from \( x \), we can express this mathematically as:
\[ x - 0.10x = 5670 \]

### Step 3: Simplify the equation
Now, we can simplify the left side of the equation:
\[ x - 0.10x = 0.90x \]
So, the equation becomes:
\[ 0.90x = 5670 \]

### Step 4: Solve for \( x \)
To find \( x \), we need to divide both sides of the equation by 0.90:
\[ x = \frac{5670}{0.90} \]

### Step 5: Calculate the value
Now, we perform the division:
\[ x = 6300 \]

### Conclusion
The original number is \( 6300 \).

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