Find a number :
Which when increased by `2.5%` becomes 246.

Answer

To find the number which, when increased by 2.5%, becomes 246, we can follow these steps:

### Step-by-Step Solution:

1. **Assume the Number**:
Let the unknown number be \( x \).

2. **Set Up the Equation**:
According to the problem, when \( x \) is increased by 2.5%, it equals 246. We can express this mathematically as:
\[ x + 2.5\% \text{ of } x = 246 \]

3. **Convert Percentage to Decimal**:
To express 2.5% in decimal form, we convert it:
\[ 2.5\% = \frac{2.5}{100} = 0.025 \]
Therefore, we can rewrite the equation as:
\[ x + 0.025x = 246 \]

4. **Combine Like Terms**:
Combine \( x \) and \( 0.025x \):
\[ 1x + 0.025x = 1.025x \]
So, the equation now looks like:
\[ 1.025x = 246 \]

5. **Solve for \( x \)**:
To find \( x \), divide both sides of the equation by 1.025:
\[ x = \frac{246}{1.025} \]

6. **Calculate \( x \)**:
Now, perform the division:
\[ x = \frac{246 \times 1000}{1025} \]
Simplifying \( \frac{246}{1.025} \):
\[ x = 240 \]

### Final Answer:
The number which, when increased by 2.5%, becomes 246 is \( 240 \).

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