`75%` of a number when added to 75 is equal to the number. The number is…..

Options

A. 150
B. 200
C. 225
D. 300

Answer

To solve the problem step by step, we will denote the unknown number as \( x \).

### Step 1: Set up the equation
We know from the problem statement that 75% of a number \( x \) when added to 75 equals the number itself. We can express this mathematically as:
\[ 0.75x + 75 = x \]

### Step 2: Isolate \( x \)
To isolate \( x \), we can subtract \( 0.75x \) from both sides of the equation:
\[ 75 = x - 0.75x \]
This simplifies to:
\[ 75 = 0.25x \]

### Step 3: Solve for \( x \)
Now, we can solve for \( x \) by dividing both sides by \( 0.25 \):
\[ x = \frac{75}{0.25} \]
Calculating the right side:
\[ x = 75 \div 0.25 = 75 \times 4 = 300 \]

### Conclusion
Thus, the number is:
\[ \boxed{300} \]

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