The 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) | Mathematics (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?
Correct Answer :
429
Solution :
To find the aggregate of marks obtained by student S in all the five subjects, we need to calculate the actual marks obtained in each subject based on the given percentages and maximum marks, and then sum them up.
From the table, the percentage marks obtained by S in each subject and the maximum marks for those subjects are:
1. Hindi: 82% of 150 maximum marks
2. English: 64% of 100 maximum marks
3. Geography: 56% of 175 maximum marks
4. Mathematics: 70% of 120 maximum marks
5. Physics: 80% of 75 maximum marks
Let us calculate the marks obtained in each subject:
Hindi:
English:
Geography:
Mathematics:
Physics:
Now, we calculate the aggregate marks by summing the marks of all five subjects:
+ +
Thus, the aggregate of marks obtained by student S in all the five subjects was 429.
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