Abhinav scores `80%` in Physics and `66%` in Chemistry and the maximum marks of both the papers are 100 . What percent does the score in maths which is of 200 marks, if he scores`80%` marks in all the three subjects?

Options

A. `74%`
B. `84%`
C. `87%`
D. `83%`

Answer

To find out what percentage Abhinav scores in Maths, we need to follow these steps:

### Step 1: Calculate the total marks scored in Physics and Chemistry
Abhinav scores:
- 80% in Physics (out of 100 marks)
- 66% in Chemistry (out of 100 marks)

Calculating the marks scored:
- Marks in Physics = 80% of 100 = \( \frac{80}{100} \times 100 = 80 \)
- Marks in Chemistry = 66% of 100 = \( \frac{66}{100} \times 100 = 66 \)

### Step 2: Calculate the total marks scored in Physics and Chemistry
Total marks scored in Physics and Chemistry:
\[ \text{Total Marks} = \text{Marks in Physics} + \text{Marks in Chemistry} = 80 + 66 = 146 \]

### Step 3: Calculate the total marks required to score 80% in all three subjects
Abhinav wants to score 80% overall in all three subjects. The maximum marks for all subjects are:
- Physics: 100
- Chemistry: 100
- Maths: 200

Total maximum marks = \( 100 + 100 + 200 = 400 \)

To find out how many marks he needs to score to achieve 80%:
\[ \text{Required Marks} = 80\% \text{ of } 400 = \frac{80}{100} \times 400 = 320 \]

### Step 4: Calculate the marks needed in Maths
Now, we know the total marks scored in Physics and Chemistry is 146. To find out how many marks he needs in Maths:
\[ \text{Marks in Maths} = \text{Required Marks} - \text{Total Marks in Physics and Chemistry} \]
\[ \text{Marks in Maths} = 320 - 146 = 174 \]

### Step 5: Calculate the percentage scored in Maths
Now, we need to find out what percentage 174 marks is out of 200:
\[ \text{Percentage in Maths} = \left( \frac{\text{Marks in Maths}}{\text{Total Marks in Maths}} \right) \times 100 \]
\[ \text{Percentage in Maths} = \left( \frac{174}{200} \right) \times 100 = 87\% \]

### Final Answer
Abhinav scores **87%** in Maths.

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