Aprajita multiplies a number by 72 insted of 27, then her new answer will increased by than the actual result :

Options

A. `7/2`
B. `8/3`
C. `5/3`
D. non of these

Answer

To solve the problem, let's break it down step by step.

### Step-by-Step Solution:

1. **Define the Variable:**
Let the number be \( x \).

2. **Calculate the Actual Result:**
The actual result when multiplying the number by 27 is:
\[ 27x \]

3. **Calculate the Mistaken Result:**
The mistaken result when multiplying the number by 72 is:
\[ 72x \]

4. **Find the Increase in Result:**
The increase in the result due to the mistake is:
\[ 72x - 27x = 45x \]

5. **Interpret the Problem Statement:**
The problem states that the new answer (72x) is increased by \( 45x \) compared to the actual result (27x).

6. **Simplify the Increase:**
The increase can be expressed as:
\[ 72x - 27x = 45x \]

7. **Divide to Simplify Further:**
We can simplify \( 45x \) by dividing by 9:
\[ \frac{45x}{9} = 5x \]

8. **Conclusion:**
The increase in the result is \( 5x \).