Study the following table and answer the question:
Percentage of marks obtained by six students A, B, C, D, E, and F in five subjects.
| Subject/Students |
English (Out of 50) |
Math (Out of 150) |
Science (Out of 80) |
Hindi (Out of 75) |
Social Studies (Out of 100) |
| A | 70 | 90 | 65 | 64 | 88 |
| B | 84 | 92 | 75 | 68 | 49 |
| C | 66 | 80 | 85 | 80 | 84 |
| D | 62 | 74 | 75 | 88 | 60 |
| E | 54 | 64 | 55 | 72 | 85 |
| F | 72 | 84 | 65 | 60 | 65 |
The total marks obtained by students C, D, and F in Science is what percent more than the total marks obtained by B in Science, Hindi, and Science Studies?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 12.5
Marks obtained by C in Science = 85% of 80 = 85(80)/100 = 68
Marks obtained by D in Science =75% of 80 = 75(80)/100 = 60
Marks obtained by F in Science = 65% of 80 = 65(80)/100 = 52
Total marks obtained by C, D, and F in Science = 68 + 60 + 52 = 180
Marks obtained by B in Science = 75% of 80 = 75(80)/100 = 60
Marks obtained by B in Hindi = 68% of 75 = 68(75)/100 = 51
Marks obtained by B in Social Studies = 49% of 100 = 49(100)/100 = 49
Total marks obtained by B in Science, Hindi, and Social Studies = 60 + 51 + 49 = 160
Total marks scored by students C, D, and F in Science are more than the total marks scored by B in Science, Hindi, and Social Studies by = [(180 - 160)/160] × 100 = 12.5%