Question : 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.
Students |
Subject | |||||
| 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 |
What are the average marks obtained by all students in Geography?
Option 1: 65.5
Option 2: 73.8
Option 3: 60.5
Option 4: 58.2
Correct Answer: 60.5
Solution :
According to the question,
Marks of P in geography = 88% of 75 = 0.88 × 75 = 66 marks
Marks of Q in geography = 92% of 75 = 0.92 × 75 = 69 marks
Marks of R in geography = 64% of 75 = 0.64 × 75 = 48 marks
Marks of S in geography = 80% of 75 = 0.80 × 75 = 60 marks
Marks of T in geography = 88% of 75 = 0.88 × 75 = 66 marks
Marks of U in geography = 72% of 75 = 0.72 × 75 = 54 marks
Total marks obtained by all students in Geography = 66 + 69 + 48 + 60 + 66 + 54 = 363
Average marks obtained by students in Geography = $\frac{363}{6}$ = 60.5
Hence, the correct answer is 60.5.
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