A candidate obtained the following percentage of marks in an examination English 60, Maths 90, Physics 75, Chemistry 66. If weighs 2, 4, 3, 3 are allotted to these subjects respectively, then the weight mean is given by

Options

A. `(60 +90 +75 +66)/( 2 +4 +3+3)`
B. `(60 xx 2 +90 xx 4 + 75 xx 3 +66 xx 3)/( 2 +4 +3+3)`
C. `(60 xx 2 +90 xx 4 + 75 xx 3 +66 xx 3)/4`
D. `( 60+90 + 75 + 66)/4`

Answer

To find the weighted mean of the percentages obtained by the candidate in the examination, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the given data:**
- Percentages:
- English: 60%
- Maths: 90%
- Physics: 75%
- Chemistry: 66%
- Weights:
- English: 2
- Maths: 4
- Physics: 3
- Chemistry: 3

2. **Multiply each percentage by its corresponding weight:**
- For English: \( 60 \times 2 = 120 \)
- For Maths: \( 90 \times 4 = 360 \)
- For Physics: \( 75 \times 3 = 225 \)
- For Chemistry: \( 66 \times 3 = 198 \)

3. **Sum the weighted values:**
\[ \text{Total Weighted Marks} = 120 + 360 + 225 + 198 = 903 \]

4. **Sum the weights:**
\[ \text{Total Weights} = 2 + 4 + 3 + 3 = 12 \]

5. **Calculate the weighted mean:**
\[ \text{Weighted Mean} = \frac{\text{Total Weighted Marks}}{\text{Total Weights}} = \frac{903}{12} = 75.25 \]

### Final Answer:
The weighted mean of the percentages is **75.25**.