Sahil got 45 marks in Hindi, 47 marks in Science, 49 marks in Mathematics, 45 marks in Social Science and 32 marks in English. The maximum marks of each subject is 50. How much overall percentage of marks did he get?

Options

A. `75%`
B. `56.4%`
C. `78%`
D. `87.2%`

Answer

To find the overall percentage of marks that Sahil got, we can follow these steps:

### Step 1: Identify the marks obtained in each subject.
- Hindi: 45 marks
- Science: 47 marks
- Mathematics: 49 marks
- Social Science: 45 marks
- English: 32 marks

### Step 2: Calculate the total maximum marks.
Since the maximum marks for each subject is 50 and there are 5 subjects, we calculate:
\[ \text{Total Maximum Marks} = 50 \times 5 = 250 \]

### Step 3: Calculate the total marks scored by Sahil.
Now, we need to add up all the marks Sahil scored:
\[ \text{Total Marks Scored} = 45 + 47 + 49 + 45 + 32 \]
Calculating this step-by-step:
- \( 45 + 47 = 92 \)
- \( 92 + 49 = 141 \)
- \( 141 + 45 = 186 \)
- \( 186 + 32 = 218 \)

Thus, the total marks scored by Sahil is 218.

### Step 4: Calculate the overall percentage.
To find the percentage, we use the formula:
\[ \text{Percentage} = \left( \frac{\text{Total Marks Scored}}{\text{Total Maximum Marks}} \right) \times 100 \]
Substituting the values:
\[ \text{Percentage} = \left( \frac{218}{250} \right) \times 100 \]
Calculating this:
\[ \text{Percentage} = 0.872 \times 100 = 87.2\% \]

### Final Answer:
Sahil's overall percentage of marks is **87.2%**.

---