If x% of `25/2` is 150, then the value of x is

Options

A. 1000
B. 1200
C. 1400
D. 1500

Answer

To find the value of \( x \) in the equation "If \( x\% \) of \( \frac{25}{2} \) is 150", we can follow these steps:

### Step 1: Set up the equation
We know that \( x\% \) can be expressed as \( \frac{x}{100} \). Therefore, we can write the equation as:
\[ \frac{x}{100} \times \frac{25}{2} = 150 \]

### Step 2: Simplify the left side of the equation
Multiply \( \frac{x}{100} \) by \( \frac{25}{2} \):
\[ \frac{25x}{200} = 150 \]

### Step 3: Eliminate the fraction
To eliminate the fraction, multiply both sides of the equation by 200:
\[ 25x = 150 \times 200 \]

### Step 4: Calculate the right side
Now, calculate \( 150 \times 200 \):
\[ 150 \times 200 = 30000 \]
So, we have:
\[ 25x = 30000 \]

### Step 5: Solve for \( x \)
Now, divide both sides by 25 to isolate \( x \):
\[ x = \frac{30000}{25} \]

### Step 6: Perform the division
Now, perform the division:
\[ x = 1200 \]

### Conclusion
Thus, the value of \( x \) is \( 1200 \).