Nandita scores 80% across five subjects (Hindi, Science, Mathematics, English, Sanskrit), each with a maximum of 105 marks. Her scores are: Hindi = 89, Sanskrit = 92, Mathematics = 98, English = 81. How many marks did she score in Science?

Introduction / Context: This is a straightforward total-score completion problem with percentages. We use the overall percentage across equal-maximum subjects to find the missing subject's marks.

Given Data / Assumptions:

• Five subjects; each maximum = 105.
• Overall percentage = 80%.
• Known scores: Hindi 89, Sanskrit 92, Mathematics 98, English 81.
• Science score = ?

Concept / Approach: Compute total maximum and total obtained from the percentage, subtract known subject scores, and the remainder is Science.

Step-by-Step Solution: Total maximum = 5 * 105 = 525. Total obtained = 80% of 525 = 0.8 * 525 = 420. Sum of known scores = 89 + 92 + 98 + 81 = 360. Science = 420 − 360 = 60.

Verification / Alternative check: Add Science back: 360 + 60 = 420; divide by 525 → 420/525 = 0.8 = 80%.

Why Other Options Are Wrong: 65, 70, 75, and 68 do not yield the 80% overall when summed with the other four marks.

Common Pitfalls: Misadding the four given scores or miscomputing 80% of 525. Double-check arithmetic.

Final Answer: 60