`8%` of 96 = ? of `1/25`

Options

A. 19.2
B. 7.68
C. 1.92
D. None of these

Answer

To solve the problem, we need to find out what percentage of \( \frac{1}{25} \) is equal to \( 8\% \) of \( 96 \).

### Step 1: Calculate \( 8\% \) of \( 96 \)

To find \( 8\% \) of \( 96 \), we can use the formula:

\[ \text{Percentage} = \left( \frac{\text{Percentage Rate}}{100} \right) \times \text{Total} \]

Substituting the values:

\[ 8\% \text{ of } 96 = \left( \frac{8}{100} \right) \times 96 \]

### Step 2: Simplify the calculation

Now, we can simplify the calculation:

\[ 8\% \text{ of } 96 = \frac{8 \times 96}{100} \]

Calculating \( 8 \times 96 \):

\[ 8 \times 96 = 768 \]

Now divide by \( 100 \):

\[ \frac{768}{100} = 7.68 \]

So, \( 8\% \text{ of } 96 = 7.68 \).

### Step 3: Set up the equation

Now we need to find what percentage \( x \) of \( \frac{1}{25} \) equals \( 7.68 \). We can set up the equation:

\[ x \times \frac{1}{25} = 7.68 \]

### Step 4: Solve for \( x \)

To find \( x \), we multiply both sides by \( 25 \):

\[ x = 7.68 \times 25 \]

Calculating \( 7.68 \times 25 \):

\[ 7.68 \times 25 = 192 \]

### Step 5: Conclusion

Thus, the answer is:

\[ 192 \]