If 1.2 is p percent of 600, what is the value of p?

Options

A. 0.002
B. 0.05
C. 0.2
D. 5

Answer

To solve the problem, we need to find the value of \( p \) such that \( 1.2 \) is \( p\% \) of \( 600 \).

### Step-by-step solution:

1. **Set up the equation**:
We know that \( p\% \) of \( 600 \) can be expressed mathematically as:
\[ \frac{p}{100} \times 600 \]
Therefore, we can write the equation:
\[ 1.2 = \frac{p}{100} \times 600 \]

2. **Rearrange the equation**:
To isolate \( p \), we can multiply both sides of the equation by \( 100 \):
\[ 1.2 \times 100 = p \times 6 \]
This simplifies to:
\[ 120 = p \times 6 \]

3. **Solve for \( p \)**:
Now, divide both sides by \( 6 \) to find \( p \):
\[ p = \frac{120}{6} \]
Calculating this gives:
\[ p = 20 \]

Thus, the value of \( p \) is \( 20 \).