Sohan got 54 marks in Hindi, 65 marks in Science, 89 marks in Maths , 69 marks in Social science and 68 Marks in English . The maximum marks of each subject are 100. How much over all perecentage of marks did he get ?

Options

A. 74
B. 69
C. 68
D. 72

Answer

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

### Step 1: Calculate the total marks obtained by Sohan
Sohan's marks in each subject are as follows:
- Hindi: 54
- Science: 65
- Maths: 89
- Social Science: 69
- English: 68

Now, we will add these marks together:

\[ \text{Total Marks Obtained} = 54 + 65 + 89 + 69 + 68 \]

Calculating this step by step:
- \(54 + 65 = 119\)
- \(119 + 89 = 208\)
- \(208 + 69 = 277\)
- \(277 + 68 = 345\)

So, the total marks obtained by Sohan is **345**.

### Step 2: Calculate the total maximum marks
The maximum marks for each subject are 100, and there are 5 subjects. Therefore, the total maximum marks are:

\[ \text{Total Maximum Marks} = 100 \times 5 = 500 \]

### Step 3: Calculate the overall percentage
The overall percentage can be calculated using the formula:

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

Substituting the values we found:

\[ \text{Percentage} = \left( \frac{345}{500} \right) \times 100 \]

Calculating this:

\[ \text{Percentage} = 0.69 \times 100 = 69\% \]

Thus, Sohan's overall percentage of marks is **69%**.

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