Vikram scored 72 percent marks in five subjects- Hindi, Science, Maths, English and Sanskrit together , where in the maximum marks of each subject were 100. How many marks did Vikram score in Science if he scored 80 marks in Hindi, 70 marks in Sanskrit, 76 marks in Maths and 65 marks in English ?

Options

A. 72
B. 69
C. 59
D. 71

Explanation

To find out how many marks Vikram scored in Science, we can follow these steps:

### Step 1: Calculate the total maximum marks
Since there are 5 subjects and each subject has a maximum of 100 marks, the total maximum marks for all subjects combined is:
\[ \text{Total Maximum Marks} = 5 \times 100 = 500 \]

### Step 2: Calculate the total marks Vikram scored
Vikram scored 72% of the total maximum marks. Therefore, we can calculate the total marks he scored as follows:
\[ \text{Total Marks Scored} = 72\% \text{ of } 500 = \frac{72}{100} \times 500 = 360 \]

### Step 3: Add the marks Vikram scored in the known subjects
Vikram's scores in the known subjects are:
- Hindi: 80 marks
- Sanskrit: 70 marks
- Maths: 76 marks
- English: 65 marks

Now, we can add these scores together:
\[ \text{Total Marks in Known Subjects} = 80 + 70 + 76 + 65 = 291 \]

### Step 4: Calculate the marks scored in Science
To find out how many marks Vikram scored in Science, we subtract the total marks in the known subjects from the total marks scored:
\[ \text{Marks in Science} = \text{Total Marks Scored} - \text{Total Marks in Known Subjects} \]
\[ \text{Marks in Science} = 360 - 291 = 69 \]

### Final Answer
Vikram scored **69 marks in Science**.

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