If x% of 75=12, then the value of x is

Options

A. 8
B. 10
C. 12
D. 16

Answer

To solve the problem "If x% of 75 = 12, then find the value of x", we can follow these steps:

### Step 1: Write the equation
We know that x% of 75 can be expressed mathematically as:
\[ \frac{x}{100} \times 75 = 12 \]

### Step 2: Simplify the equation
To eliminate the fraction, we can multiply both sides of the equation by 100:
\[ x \times 75 = 12 \times 100 \]
This simplifies to:
\[ 75x = 1200 \]

### Step 3: Solve for x
Now, we need to isolate x. To do this, we divide both sides of the equation by 75:
\[ x = \frac{1200}{75} \]

### Step 4: Perform the division
Now, we can perform the division:
\[ x = 16 \]

### Conclusion
Thus, the value of x is:
\[ \boxed{16} \]

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