Study the following table and answer the question:
Percentage of marks obtained by six students in five subjects A, B, C, D & E.
|
Subjects → Students ↓ |
A (Out of 75) |
B (Out of 80) |
C (Out of 100) |
D (Out of 50) |
E (Out of 150) |
|
Manju |
68 |
85 |
86 |
72 |
92 |
|
Amit |
64 |
65 |
80 |
96 |
80 |
|
Rekha |
88 |
75 |
65 |
74 |
90 |
|
Anuj |
80 |
55 |
68 |
66 |
84 |
|
Abhi |
72 |
65 |
72 |
54 |
74 |
|
Vikram |
60 |
70 |
73 |
84 |
86 |
Total marks obtained by Amit, Abhi and Anuj in subject E is what percent more than the total marks obtained by all the six students in subject B? (correct to one decimal! place)
Answer & explanation
Correct answer: option 3
Total marks of Amit, Abhi and Anuj in subject E = 80% of 150 + 74% of 150 + 84% of 150
= \(\frac{4}{5}\) × 150 + \(\frac{37}{50}\) × 150 + \(\frac{21}{25}\) × 150
= 120 + 111 + 126
= 357
Total marks of all students in B = ( 85% + 65% + 75% + 55% + 65% + 70% ) of 80
= \(\frac{415}{100}\) × 80
= 332
Required percentage = \(\frac{25}{332}\) × 100
= 7.53%
= 7.5% (correct to one decimal! place)