The table shows the percentage of marks obtained by six students in six subjects.
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The table shows the percentage of marks obtained by six students in six subjects. The maximum marks of each subject is given in parentheses: Hindi (100), English (50), Maths (150), Social Studies (125), Science (150), Kannada (50). Student C's percentages across subjects are: Hindi 81, English 80, Maths 84, Social Studies 80, Science 78, Kannada 90. What is C's overall percentage of marks in all subjects together?
Show answer & explanation
To find the overall percentage, we calculate the total marks obtained by C across all subjects, divide by the total maximum marks possible, and multiply by 100. Student C scored percentages that correspond to: Hindi 81 (of 100), English 80 (of 50), Maths 84 (of 150), Social Studies 80 (of 125), Science 78 (of 150), Kannada 90 (of 50). The overall percentage is 81.44%, which reflects C's consistent mid-to-high performance across subjects.
Step-by-step Derivation:
Step 1: Convert percentages to actual marks for Student C:
- Hindi: 81% of 100 = 81 marks
- English: 80% of 50 = 40 marks
- Maths: 84% of 150 = 126 marks
- Social Studies: 80% of 125 = 100 marks
- Science: 78% of 150 = 117 marks
- Kannada: 90% of 50 = 45 marks
Step 2: Calculate total marks obtained:
Total = 81 + 40 + 126 + 100 + 117 + 45 = 509 marks
Step 3: Calculate total maximum marks:
Total Max = 100 + 50 + 150 + 125 + 150 + 50 = 625 marks
Step 4: Calculate overall percentage:
Overall % = (509 / 625) × 100 = 0.8144 × 100 = 81.44%