Sobodh got 72 marks in Hindi, 68 marks in Science, 62 marks in Snakrit, 74 marks in Maths and 64 marks in English. The maximum marks of each subject are 80. How much overall percentage of marks did Subodh get ?

Options

A. 85
B. 82
C. 75
D. 78

Answer

To find the overall percentage of marks that Sobodh obtained, we can follow these steps:

### Step 1: Calculate the Total Obtained Marks
First, we need to add up the marks Sobodh received in each subject.

- Hindi: 72 marks
- Science: 68 marks
- Sanskrit: 62 marks
- Maths: 74 marks
- English: 64 marks

**Total Obtained Marks** = 72 + 68 + 62 + 74 + 64

Calculating this:

\[ 72 + 68 = 140 \]
\[ 140 + 62 = 202 \]
\[ 202 + 74 = 276 \]
\[ 276 + 64 = 340 \]

So, the total obtained marks = **340 marks**.

### Step 2: Calculate the Total Maximum Marks
Next, we need to find the total maximum marks for all subjects. Since each subject has a maximum of 80 marks and there are 5 subjects, we can calculate it as follows:

**Total Maximum Marks** = 80 (max marks per subject) × 5 (number of subjects)

Calculating this:

\[ 80 \times 5 = 400 \]

So, the total maximum marks = **400 marks**.

### Step 3: Calculate the Overall Percentage
Now, we can calculate the overall percentage using the formula:

\[ \text{Percentage} = \left( \frac{\text{Total Obtained Marks}}{\text{Total Maximum Marks}} \right) \times 100 \]

Substituting the values we found:

\[ \text{Percentage} = \left( \frac{340}{400} \right) \times 100 \]

Calculating this:

\[ \frac{340}{400} = 0.85 \]
\[ 0.85 \times 100 = 85\% \]

So, Sobodh's overall percentage of marks is **85%**.

### Summary
Sobodh obtained a total of 340 marks out of a maximum of 400 marks, resulting in an overall percentage of **85%**.

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