If `S=((100+g))/(100)C`, then `g ="……….."`

Options

A. `(100S-C)/(100)`
B. `(100(S-1))/(C )`
C. `(100(S-C))/ (C )`
D. `(100(S-C))/(100)`

Answer

To solve the equation \( S = \frac{100 + g}{100C} \) for \( g \), we can follow these steps:

### Step 1: Rewrite the equation
We start with the equation:
\[ S = \frac{100 + g}{100C} \]

### Step 2: Multiply both sides by \( 100C \)
To eliminate the fraction, we multiply both sides by \( 100C \):
\[ 100CS = 100 + g \]

### Step 3: Isolate \( g \)
Next, we want to isolate \( g \). We can do this by subtracting \( 100 \) from both sides:
\[ g = 100CS - 100 \]

### Step 4: Factor out \( 100 \)
Now, we can factor \( 100 \) out from the right side:
\[ g = 100(CS - 1) \]

### Final Expression
Thus, the value of \( g \) is:
\[ g = 100(CS - 1) \]