Which of the following multipliers will cause a number to be increased by 25.3%?

Options

A. `12.53`
B. `125.3`
C. `1.253`
D. 1253

Answer

To determine which multiplier will cause a number to be increased by 25.3%, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Increase**:
- When a number is increased by a percentage, we need to add that percentage of the number to the original number.
- For example, if the original number is \( X \), then an increase of 25.3% means we need to find \( X + 25.3\% \text{ of } X \).

2. **Calculating 25.3% of \( X \)**:
- To calculate 25.3% of \( X \), we convert the percentage to a decimal by dividing by 100:
\[ 25.3\% = \frac{25.3}{100} = 0.253 \]
- Therefore, \( 25.3\% \text{ of } X = 0.253 \times X \).

3. **Adding the Increase to the Original Number**:
- Now we can express the increased value as:
\[ \text{Increased Value} = X + 0.253X \]
- This can be simplified as:
\[ \text{Increased Value} = (1 + 0.253)X = 1.253X \]

4. **Identifying the Multiplier**:
- The multiplier that results in an increase of 25.3% is therefore 1.253.
- This means that if we multiply the original number \( X \) by 1.253, we will get the increased value.

5. **Conclusion**:
- From the options provided, the correct multiplier that causes a number to be increased by 25.3% is **1.253**.

### Final Answer:
The multiplier that will cause a number to be increased by 25.3% is **1.253**.

---