`30%` of a number exceeds `25%` of the same number by `27`. What is the value of the number ?

Options

A. `540`
B. `270`
C. `108`
D. `90`

Answer

To find the value of the number based on the given information, we can follow these steps:

### Step-by-Step Solution:

1. **Let the number be represented as \( x \)**.
- We will denote the unknown number as \( x \).

2. **Calculate 30% of the number**:
- \( 30\% \) of \( x \) can be calculated as:
\[ \text{30% of } x = \frac{30}{100} \times x = 0.3x \]

3. **Calculate 25% of the number**:
- \( 25\% \) of \( x \) can be calculated as:
\[ \text{25% of } x = \frac{25}{100} \times x = 0.25x \]

4. **Set up the equation based on the problem statement**:
- According to the problem, \( 30\% \) of the number exceeds \( 25\% \) of the same number by \( 27 \). This can be expressed as:
\[ 0.3x - 0.25x = 27 \]

5. **Simplify the equation**:
- Combine like terms:
\[ 0.3x - 0.25x = 0.05x \]
- Therefore, the equation becomes:
\[ 0.05x = 27 \]

6. **Solve for \( x \)**:
- To find \( x \), divide both sides by \( 0.05 \):
\[ x = \frac{27}{0.05} \]
- This simplifies to:
\[ x = 27 \times 20 = 540 \]

7. **Conclusion**:
- The value of the number is:
\[ \boxed{540} \]