The percentage marks obtained by 6 students in different subjects are given below.
The maximum marks for each subject have been indicated in the table.
|
Subject Students |
Physics |
Mathematics |
Hindi |
Geography |
English |
History |
|
Maximum marks → |
80 |
150 |
100 |
75 |
120 |
50 |
|
P |
70 |
44 |
88 |
88 |
70 |
38 |
|
Q |
90 |
40 |
54 |
92 |
65 |
40 |
|
R |
85 |
32 |
70 |
64 |
55 |
30 |
|
S |
75 |
70 |
58 |
80 |
60 |
35 |
|
T |
65 |
60 |
45 |
88 |
50 |
42 |
|
U |
60 |
50 |
60 |
72 |
25 |
48 |
The total marks obtained by student Q in Physics and Hindi are what percentage (rounded off to the nearest integer) more than the total marks obtained by student T in Geography and History?
Answer & explanation
Correct answer: option 1
Marks of Q in physics and Hindi = \(\frac{9}{10}\) × 80 + \(\frac{54}{100}\) × 100
= 72 + 54 = 126
Marks of T in geography and History = \(\frac{88}{100}\) ×75 + \(\frac{42}{100}\) × 50
= 66 + 21 = 87
Required percentage = (\frac{126 - 87}{87}\) × 100
= (\frac{39}{87}\) × 100
= 44.82%
= 45% ( nearest integer )