If 12.5% of x is 6, Find the value of x.

Options

A. `x=52`
B. `x=50`
C. `x=48`
D. `x=49`

Answer

To solve the problem step by step, we need to find the value of \( x \) given that \( 12.5\% \) of \( x \) equals \( 6 \).

### Step 1: Convert the percentage to a fraction
We know that \( 12.5\% \) can be written as a fraction:
\[ 12.5\% = \frac{12.5}{100} \]

### Step 2: Set up the equation
According to the problem, \( 12.5\% \) of \( x \) is equal to \( 6 \). We can express this mathematically as:
\[ \frac{12.5}{100} \times x = 6 \]

### Step 3: Simplify the fraction
To make calculations easier, we can simplify \( \frac{12.5}{100} \):
\[ \frac{12.5}{100} = \frac{125}{1000} = \frac{1}{8} \]
So, we can rewrite the equation as:
\[ \frac{1}{8} \times x = 6 \]

### Step 4: Solve for \( x \)
To isolate \( x \), we can multiply both sides of the equation by \( 8 \):
\[ x = 6 \times 8 \]
Calculating this gives:
\[ x = 48 \]

### Final Answer
Thus, the value of \( x \) is \( 48 \).

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