The marks obtained by Hare Rama in Mathematics, English and Biology are respectively 93 out of 100, 78 out of 150 and 177 out of 200. Find his average score in percent.

Options

A. 87.83
B. 86.83
C. 76.33
D. 77.33

Answer

To find Hare Rama's average score in percentage, we will follow these steps:

### Step 1: Calculate the total marks obtained
We need to sum the marks obtained in each subject:
- Mathematics: 93 out of 100
- English: 78 out of 150
- Biology: 177 out of 200

Total marks obtained = Marks in Mathematics + Marks in English + Marks in Biology
Total marks obtained = 93 + 78 + 177

**Calculation:**
Total marks obtained = 93 + 78 + 177 = 348

### Step 2: Calculate the total maximum marks
Next, we need to calculate the total maximum marks for all subjects:
- Maximum marks in Mathematics: 100
- Maximum marks in English: 150
- Maximum marks in Biology: 200

Total maximum marks = Maximum marks in Mathematics + Maximum marks in English + Maximum marks in Biology
Total maximum marks = 100 + 150 + 200

**Calculation:**
Total maximum marks = 100 + 150 + 200 = 450

### Step 3: Calculate the average score in percentage
To find the average score in percentage, we will use the formula:
\[ \text{Average Percentage} = \left( \frac{\text{Total Marks Obtained}}{\text{Total Maximum Marks}} \right) \times 100 \]

Substituting the values we calculated:
\[ \text{Average Percentage} = \left( \frac{348}{450} \right) \times 100 \]

**Calculation:**
Average Percentage = (348 / 450) × 100 ≈ 77.33%

### Final Answer:
Hare Rama's average score in percentage is approximately **77.33%**.

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