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.
|
Subjects → 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 Social Studies?
Answer & explanation
Correct answer: option 3
Science marks of C , D & F = ( 85% + 75% + 65% ) of 80
= \(\frac{225}{100}\) × 80
= 180
Total marks of B in Science, Hindi and Social Studies = 75% of 80 + 68% of 75 + 49% of 100
= 60 + 51 + 49
= 160
Required percentage = \(\frac{180 - 160}{160}\) × 100
= \(\frac{20}{160}\) × 100
= 12.5%