A student scored 470 marks in 6 subjects. The maximum marks for each subject was 100. What was his score in percentage terms ?
A.67.33%
B . 69.45%
C. 78.33 %
D.78.67%.

Options

A. C
B. A
C. D
D. C

Answer

To find the percentage score of the student, we can follow these steps:

### Step 1: Determine the total maximum marks
The maximum marks for each subject is 100, and there are 6 subjects. Therefore, the total maximum marks can be calculated as:
\[ \text{Total Maximum Marks} = \text{Number of Subjects} \times \text{Maximum Marks per Subject} = 6 \times 100 = 600 \]

### Step 2: Identify the obtained marks
The student scored 470 marks in total across the 6 subjects.

### Step 3: Calculate the percentage
The percentage score can be calculated using the formula:
\[ \text{Percentage} = \left( \frac{\text{Obtained Marks}}{\text{Total Maximum Marks}} \right) \times 100 \]
Substituting the values we have:
\[ \text{Percentage} = \left( \frac{470}{600} \right) \times 100 \]

### Step 4: Perform the division
Calculating the division:
\[ \frac{470}{600} = 0.7833 \]

### Step 5: Multiply by 100 to get the percentage
Now, multiply by 100:
\[ 0.7833 \times 100 = 78.33 \]

### Conclusion
The student's score in percentage terms is:
\[ \text{Percentage} = 78.33\% \]
Thus, the correct answer is **C. 78.33%**.

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