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 |
6 |
The total marks obtained by student F in English, Science and Hindi is approximately what percent of the total marks obtained by student A in English, Mathematics, Science and Hindi? (Correct to one decimal place)
Answer & explanation
Correct answer: option 2
Marks obtained by F in English, Science and Hindi = \(\frac{72}{100}\) × 50 + \(\frac{65}{100}\) × 80 + \(\frac{60}{100}\) × 75
= 36 + 52 + 45
= 133
Marks of A in English, Mathematics, Science and Hindi = \(\frac{70}{100}\) × 50 + \(\frac{90}{100}\) × 150 + \(\frac{65}{100}\) × 80 + \(\frac{64}{100}\) × 75
= 35 + 135 + 52 + 48
= 270
Required percentage = \(\frac{133}{270}\) × 100 = 49.3%