The total marks obtained by the student in subjects C and E is approximately how much percent more than what he obtained in A and D together?

Options

A. 0.0909
B. 0.1025
C. 0.0833
D. 0.0726

Answer

To solve the question, we need to calculate the total marks obtained by the student in subjects C and E, and then compare it to the total marks obtained in subjects A and D. Finally, we will determine how much percent more the marks in C and E are compared to A and D.

### Step-by-Step Solution:

1. **Identify Total Marks**:
The total marks obtained by the student in all subjects is 600.

2. **Calculate Marks in Subjects C and E**:
According to the pie chart, the marks distribution is as follows:
- Subject C: 68 degrees
- Subject E: 76 degrees

The total degrees in a pie chart is 360 degrees. To find the marks in subjects C and E, we use the following formula:
\[ \text{Marks in C and E} = \frac{600 \times (68 + 76)}{360} \]
\[ = \frac{600 \times 144}{360} = 240 \]

3. **Calculate Marks in Subjects A and D**:
The marks distribution for subjects A and D is:
- Subject A: 60 degrees
- Subject D: 72 degrees

Using the same formula:
\[ \text{Marks in A and D} = \frac{600 \times (60 + 72)}{360} \]
\[ = \frac{600 \times 132}{360} = 220 \]

4. **Calculate the Difference in Marks**:
Now we find the difference between the marks in C and E and A and D:
\[ \text{Difference} = \text{Marks in C and E} - \text{Marks in A and D} = 240 - 220 = 20 \]

5. **Calculate the Percentage Increase**:
To find out how much percent more the marks in C and E are compared to A and D, we use the percentage formula:
\[ \text{Percentage Increase} = \left(\frac{\text{Difference}}{\text{Marks in A and D}}\right) \times 100 \]
\[ = \left(\frac{20}{220}\right) \times 100 \approx 9.09\% \]

### Final Answer:
The total marks obtained by the student in subjects C and E is approximately **9.09%** more than what he obtained in A and D together.

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