Dipika scored 35 out of 50 in the half-yearly examination and 65 out of 100 in the final examination in English. In which examination was her performance better?

Answer

To determine in which examination Dipika performed better, we will calculate her scores in both examinations as percentages and then compare them.

### Step-by-Step Solution:

1. **Calculate the percentage for the Half-Yearly Examination:**
- Dipika scored 35 out of 50.
- To convert this score into a percentage, we use the formula:
\[ \text{Percentage} = \left(\frac{\text{Score}}{\text{Total Marks}}\right) \times 100 \]
- Substituting the values:
\[ \text{Percentage} = \left(\frac{35}{50}\right) \times 100 \]
- Simplifying this:
\[ \text{Percentage} = \left(0.7\right) \times 100 = 70\% \]

2. **Calculate the percentage for the Final Examination:**
- Dipika scored 65 out of 100.
- Using the same formula:
\[ \text{Percentage} = \left(\frac{65}{100}\right) \times 100 \]
- Simplifying this:
\[ \text{Percentage} = 0.65 \times 100 = 65\% \]

3. **Compare the two percentages:**
- Half-Yearly Examination: 70%
- Final Examination: 65%
- Since 70% is greater than 65%, we conclude that Dipika performed better in the Half-Yearly Examination.

### Conclusion:
Dipika's performance was better in the Half-Yearly Examination with a score of 70%.