If `35%` of a number added to `39` is the number itself, the number is

Options

A. `60`
B. `65`
C. `75`
D. `70`

Answer

To solve the problem step by step, we will follow the given information and set up an equation.

### Step 1: Understand the problem
We need to find a number such that when 35% of it is added to 39, the result is the number itself.

### Step 2: Let the number be represented by a variable
Let the number be \( x \).

### Step 3: Write the equation based on the problem statement
According to the problem, we can express it mathematically as:
\[ 35\% \text{ of } x + 39 = x \]
This can be rewritten using the fraction form of percentage:
\[ \frac{35}{100}x + 39 = x \]

### Step 4: Eliminate the fraction
To eliminate the fraction, we can multiply the entire equation by 100:
\[ 35x + 3900 = 100x \]

### Step 5: Rearrange the equation
Now, we will rearrange the equation to isolate \( x \):
\[ 3900 = 100x - 35x \]
This simplifies to:
\[ 3900 = 65x \]

### Step 6: Solve for \( x \)
Now, divide both sides by 65 to find \( x \):
\[ x = \frac{3900}{65} \]

### Step 7: Calculate the value
Now, we perform the division:
\[ x = 60 \]

### Conclusion
The number is \( 60 \).

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