The marks obtained by a student in Mathematics, Chemistry and Physics are respectively. 195 out of 200,133 out of 180 and 153 out of 160. His average score in percent (correct to one decimal place) is:

Options

A. 84.6
B. 86.7
C. 89.1
D. 96.2

Answer

To find the average score in percentage for the student in Mathematics, Chemistry, and Physics, we will follow these steps:

### Step 1: Calculate the total marks obtained by the student.
- Mathematics: 195 out of 200
- Chemistry: 133 out of 180
- Physics: 153 out of 160

Total marks obtained = 195 + 133 + 153

**Calculation:**
195 + 133 + 153 = 481

### Step 2: Calculate the total maximum marks.
- Maximum marks in Mathematics: 200
- Maximum marks in Chemistry: 180
- Maximum marks in Physics: 160

Total maximum marks = 200 + 180 + 160

**Calculation:**
200 + 180 + 160 = 540

### Step 3: Calculate the average score in percentage.
The average percentage is calculated using the formula:

\[ \text{Average percentage} = \left( \frac{\text{Total marks obtained}}{\text{Total maximum marks}} \right) \times 100 \]

Substituting the values we calculated:

\[ \text{Average percentage} = \left( \frac{481}{540} \right) \times 100 \]

**Calculation:**
\[ \text{Average percentage} = 0.89074 \times 100 \approx 89.1 \]

### Step 4: Round off to one decimal place.
The average score in percent, rounded to one decimal place, is 89.1%.

### Final Answer:
The average score in percent is **89.1%**.

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