Find the number whose `13% `is 65

Options

A. 400
B. 300
C. 500
D. 200

Answer

To find the number whose 13% is 65, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We need to find a number \( X \) such that 13% of \( X \) equals 65.

2. **Set Up the Equation**: We can express this mathematically as:
\[ \frac{13}{100} \times X = 65 \]

3. **Isolate \( X \)**: To find \( X \), we need to isolate it on one side of the equation. We can do this by multiplying both sides by \( \frac{100}{13} \):
\[ X = 65 \times \frac{100}{13} \]

4. **Calculate \( \frac{100}{13} \)**: First, we can simplify \( \frac{100}{13} \):
\[ \frac{100}{13} \approx 7.6923 \]

5. **Multiply**: Now, multiply 65 by \( \frac{100}{13} \):
\[ X = 65 \times 7.6923 \approx 500 \]

6. **Conclusion**: Therefore, the number whose 13% is 65 is:
\[ X = 500 \]