Nandita scores 80% marks in five subjects together, viz., Hindi, Science, Mathematics, English and Sanskrit, where in the maximum marks of each subject were 105. How many marks did Nandita score in Science, if she scored 89 marks in Hindi, 92 marks in Sanskrit, 98 marks in Mathematics and 81 marks in English?

Options

A. 60
B. 75
C. 65
D. 70

Answer

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

### Step 1: Calculate the total maximum marks for the five subjects.
Each subject has a maximum of 105 marks, and there are 5 subjects.
\[ \text{Total maximum marks} = 105 \times 5 = 525 \]

### Step 2: Calculate the total marks Nandita scored.
Nandita scored 80% of the total maximum marks.
\[ \text{Total marks scored by Nandita} = 80\% \text{ of } 525 = \frac{80}{100} \times 525 = 420 \]

### Step 3: Calculate the total marks Nandita scored in the four known subjects.
Nandita's scores in the subjects are:
- Hindi: 89
- Sanskrit: 92
- Mathematics: 98
- English: 81

Now, we sum these scores:
\[ \text{Total marks in Hindi, Sanskrit, Mathematics, and English} = 89 + 92 + 98 + 81 \]
Calculating this gives:
\[ 89 + 92 = 181 \]
\[ 181 + 98 = 279 \]
\[ 279 + 81 = 360 \]

### Step 4: Calculate the marks scored in Science.
To find the marks scored in Science, we subtract the total marks from the four subjects from the total marks scored by Nandita.
\[ \text{Marks in Science} = \text{Total marks scored} - \text{Total marks in other subjects} \]
\[ \text{Marks in Science} = 420 - 360 = 60 \]

### Conclusion:
Nandita scored **60 marks** in Science.

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