If `20%` of a number is added with itself then the result becomes `3600`. Find the original no. ?

Options

A. `3200`
B. `3000`
C. `3800`
D. `3400`

Answer

To solve the problem step by step, we need to find the original number when 20% of it is added to itself, resulting in 3600.

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

### Step 2: Express the problem mathematically
According to the problem, when 20% of \( x \) is added to \( x \), the result is 3600. We can express this as:
\[ x + 0.2x = 3600 \]

### Step 3: Combine like terms
Combine \( x \) and \( 0.2x \):
\[ 1x + 0.2x = 1.2x \]
So, we have:
\[ 1.2x = 3600 \]

### Step 4: Solve for \( x \)
To find \( x \), divide both sides of the equation by 1.2:
\[ x = \frac{3600}{1.2} \]

### Step 5: Calculate the value
Now, perform the division:
\[ x = 3000 \]

### Conclusion
The original number is \( 3000 \).

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