Nidhi scores 62 marks in Mathematics, 70 in English, 74 in Science. What should be her score in Social Sciences so that she gets an overall 68%?

Options

A. 65
B. 68
C. 67
D. 66

Answer

To find out what score Nidhi needs in Social Sciences to achieve an overall percentage of 68%, we can follow these steps:

### Step 1: Understand the total marks and the required percentage
Nidhi has scores in four subjects: Mathematics, English, Science, and Social Sciences. The total marks for each subject are 100, making the total possible marks for four subjects 400.

### Step 2: Calculate the total marks needed for 68%
To find out how many total marks Nidhi needs to achieve a percentage of 68%, we can use the formula:
\[ \text{Total Marks Needed} = \text{Percentage} \times \text{Total Marks} \]
Substituting the values:
\[ \text{Total Marks Needed} = 68\% \times 400 = \frac{68}{100} \times 400 = 272 \]

### Step 3: Calculate the sum of the scores Nidhi has
Now, we will add the scores Nidhi has in Mathematics, English, and Science:
\[ \text{Total Marks from Subjects} = 62 + 70 + 74 = 206 \]

### Step 4: Set up the equation for Social Sciences score
Let \( X \) be the score Nidhi needs in Social Sciences. The equation to find \( X \) is:
\[ 206 + X = 272 \]

### Step 5: Solve for \( X \)
Now, we can solve for \( X \):
\[ X = 272 - 206 = 66 \]

### Conclusion
Nidhi needs to score **66 marks** in Social Sciences to achieve an overall percentage of 68%.

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