A candidate obtains the marks in subjects, English 40, Hindi 30, Mathematics 60, Physics 70 and Chemistry 40. In the weights of 1, 2, 2, 3, 3 respectively are allotted to the subjects, then in the candidates weighted mean is

Options

A. 59
B. 615
C. 10
D. 50

Answer

To find the weighted mean of the candidate's marks in various subjects, we will follow these steps:

### Step 1: List the Marks and Weights
We have the following marks and their corresponding weights:

- English: Marks = 40, Weight = 1
- Hindi: Marks = 30, Weight = 2
- Mathematics: Marks = 60, Weight = 2
- Physics: Marks = 70, Weight = 3
- Chemistry: Marks = 40, Weight = 3

### Step 2: Calculate the Weighted Marks
We will multiply each subject's marks by its corresponding weight:

- For English: \( 40 \times 1 = 40 \)
- For Hindi: \( 30 \times 2 = 60 \)
- For Mathematics: \( 60 \times 2 = 120 \)
- For Physics: \( 70 \times 3 = 210 \)
- For Chemistry: \( 40 \times 3 = 120 \)

### Step 3: Sum the Weighted Marks
Now, we sum all the weighted marks calculated in Step 2:

\[ \text{Total Weighted Marks} = 40 + 60 + 120 + 210 + 120 = 550 \]

### Step 4: Sum the Weights
Next, we sum all the weights:

\[ \text{Total Weights} = 1 + 2 + 2 + 3 + 3 = 11 \]

### Step 5: Calculate the Weighted Mean
Finally, we calculate the weighted mean using the formula:

\[ \text{Weighted Mean} = \frac{\text{Total Weighted Marks}}{\text{Total Weights}} = \frac{550}{11} = 50 \]

Thus, the candidate's weighted mean is **50**.

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