Study the following table and answer the question:
Percentage of marks obtained by six students in five subjects A, B, C, D & E.
|
Subject → 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 |
The total marks obtained by Amit in subjects A, B and C is what percent less than the total marks obtained by Vikram in subjects B, C, D and E?
Answer & explanation
Correct answer: option 3
Total marks of Amit in subjects A, B and C = 64% of 75 + 65% of 80 + 80% of 100
= \(\frac{16}{25}\) × 75 + \(\frac{13}{20}\) × 80 + \(\frac{4}{5}\) × 100
= 48 + 52 + 80
= 180
Total marks of Vikram in B ,C , D & E = 70% of 80 + 73% of 100 + 84% of 50 + 86% of 150
= \(\frac{7}{10}\) × 80 + \(\frac{73}{100}\) × 100 + \(\frac{21}{25}\) × 50 + \(\frac{43}{50}\) × 150
= 56 + 73 + 42 + 129
= 300
Required percentage = \(\frac{300 - 180}{300}\) × 100
= \(\frac{120}{300}\) × 100
= 40%