If 25% of a number is 6, then what is the number which is 50% more than the initial number?

Options

A. 36
B. 24
C. 30
D. 18

Answer

To solve the problem step by step, let's break it down:

### Step 1: Understand the given information
We know that 25% of a number is equal to 6. We need to find the original number.

### Step 2: Set up the equation
Let the unknown number be \( x \). According to the problem, we can express this as:
\[ 25\% \text{ of } x = 6 \]
This can be rewritten in equation form as:
\[ \frac{25}{100} \times x = 6 \]

### Step 3: Simplify the equation
We can simplify \( \frac{25}{100} \) to \( \frac{1}{4} \):
\[ \frac{1}{4} \times x = 6 \]

### Step 4: Solve for \( x \)
To find \( x \), multiply both sides of the equation by 4:
\[ x = 6 \times 4 \]
\[ x = 24 \]

### Step 5: Calculate 50% more than the original number
Now that we have found \( x = 24 \), we need to find a number that is 50% more than this number. To find 50% of 24:
\[ 50\% \text{ of } 24 = \frac{50}{100} \times 24 = \frac{1}{2} \times 24 = 12 \]

### Step 6: Add this value to the original number
Now, we add this 50% value to the original number:
\[ 24 + 12 = 36 \]

### Conclusion
Thus, the number which is 50% more than the initial number is:
\[ \boxed{36} \]