Question
Download Solution PDFThe percentage of marks obtained by six students in five different subjects in an examination and the maximum marks in each subject (in parenthesis) are given in the following table.
|
Student |
Hindi (150) |
English (100) |
Geography(175) |
Mathemati cs (120) |
Physics (75) |
|
P |
85 |
56 |
65 |
82 |
90 |
|
Q |
76 |
84 |
52 |
84 |
76 |
|
R |
89 |
98 |
67 |
60 |
56 |
|
S |
82 |
64 |
56 |
70 |
80 |
|
T |
58 |
68 |
78 |
68 |
71 |
|
U |
64 |
75 |
94 |
64 |
60 |
What was the aggregate of marks obtained by S in all the five subjects?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Marks obtained by S in five subjects are:
Hindi = 82% of 150
English = 64% of 100
Geography = 56% of 175
Mathematics = 70% of 120
Physics = 80% of 75
Formula used:
Aggregate marks = (Percentage in each subject × Maximum marks in that subject) for all subjects
Calculations:
Step 1: Calculate marks in each subject:
⇒ Hindi = (82/100) × 150 = 123
⇒ English = (64/100) × 100 = 64
⇒ Geography = (56/100) × 175 = 98
⇒ Mathematics = (70/100) × 120 = 84
⇒ Physics = (80/100) × 75 = 60
Step 2: Add all the marks:
⇒ Aggregate marks = 123 + 64 + 98 + 84 + 60 = 429
∴ The aggregate marks obtained by S are 429.
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