What is Varun's overall percentage in the examination?

Answer

To find Varun's overall percentage in the examination, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Marks and Total Marks for Each Subject:**
- English: 63% of 100
- Science: 76% of 125
- Math: 88% of 150
- Social Science: 68% of 75
- Hindi: 72% of 50

2. **Calculate the Marks Obtained in Each Subject:**
- English: \( \frac{63}{100} \times 100 = 63 \)
- Science: \( \frac{76}{100} \times 125 = 95 \) (since \( 76 \times 1.25 = 95 \))
- Math: \( \frac{88}{100} \times 150 = 132 \) (since \( 88 \times 1.5 = 132 \))
- Social Science: \( \frac{68}{100} \times 75 = 51 \) (since \( 68 \times 0.75 = 51 \))
- Hindi: \( \frac{72}{100} \times 50 = 36 \) (since \( 72 \times 0.5 = 36 \))

3. **Sum the Marks Obtained:**
- Total Marks Obtained = \( 63 + 95 + 132 + 51 + 36 = 377 \)

4. **Calculate the Total Maximum Marks:**
- Total Maximum Marks = \( 100 + 125 + 150 + 75 + 50 = 500 \)

5. **Calculate the Overall Percentage:**
- Overall Percentage = \( \left( \frac{\text{Total Marks Obtained}}{\text{Total Maximum Marks}} \right) \times 100 \)
- Overall Percentage = \( \left( \frac{377}{500} \right) \times 100 = 75.4\% \)

### Final Answer:
Varun's overall percentage in the examination is **75.4%**.

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