If 20% of p is 10, what is 10% of p?

Options

A. `2`
B. `4`
C. `5`
D. `8`

Answer

To solve the problem step by step, we can follow these calculations:

1. **Understand the given information**: We know that 20% of \( p \) is equal to 10.
\[ 20\% \text{ of } p = 10 \]

2. **Convert the percentage to a fraction**: We can express 20% as a fraction:
\[ 20\% = \frac{20}{100} \]
Therefore, we can write the equation as:
\[ \frac{20}{100} \times p = 10 \]

3. **Simplify the fraction**: Simplifying \(\frac{20}{100}\) gives us \(\frac{1}{5}\):
\[ \frac{1}{5} \times p = 10 \]

4. **Solve for \( p \)**: To find \( p \), we can multiply both sides of the equation by 5:
\[ p = 10 \times 5 \]
\[ p = 50 \]

5. **Find 10% of \( p \)**: Now that we have \( p \), we can find 10% of \( p \):
\[ 10\% \text{ of } p = \frac{10}{100} \times p \]
Substituting \( p = 50 \):
\[ 10\% \text{ of } 50 = \frac{10}{100} \times 50 \]

6. **Calculate the result**: Simplifying this gives:
\[ = \frac{500}{100} = 5 \]

Thus, the answer is:
\[ \text{10% of } p = 5 \]