If `1/(25.25)=0.396` then the value of `1/(0.0002525)` will be

Options

A. 3960
B. 39600
C. `0.0000396`
D. 0.000396

Answer

To find the value of \( \frac{1}{0.0002525} \) given that \( \frac{1}{25.25} = 0.396 \), we can follow these steps:

### Step 1: Rewrite the denominator
We can express \( 0.0002525 \) in terms of \( 25.25 \). Notice that:
\[ 0.0002525 = \frac{2525}{10000000} = \frac{2525}{10^7} \]
This means we can rewrite \( \frac{1}{0.0002525} \) as:
\[ \frac{1}{0.0002525} = \frac{10^7}{2525} \]

### Step 2: Relate \( 2525 \) to \( 25.25 \)
We know that:
\[ 2525 = 100 \times 25.25 \]
Thus, we can substitute this into our expression:
\[ \frac{1}{0.0002525} = \frac{10^7}{100 \times 25.25} = \frac{10^7}{100} \cdot \frac{1}{25.25} \]

### Step 3: Simplify the expression
Now, simplify \( \frac{10^7}{100} \):
\[ \frac{10^7}{100} = 10^5 = 100000 \]
So we have:
\[ \frac{1}{0.0002525} = 100000 \cdot \frac{1}{25.25} \]

### Step 4: Substitute the known value
We know from the problem statement that \( \frac{1}{25.25} = 0.396 \). Therefore:
\[ \frac{1}{0.0002525} = 100000 \cdot 0.396 \]

### Step 5: Calculate the final value
Now, we can calculate:
\[ 100000 \cdot 0.396 = 39600 \]

### Final Answer
Thus, the value of \( \frac{1}{0.0002525} \) is:
\[ \boxed{39600} \]