Question :
| School | Number of students scoring marks less than 50% | Percentage of students scoring marks more than 50% | Number of students appeared |
| A | 270 | 55 | 600 |
| B | 120 | 40 | 400 |
| C | 300 | 20 | 375 |
| D | 220 | 10 | 350 |
| E | 200 | 25 | 300 |
Study the above table and answer the question.
The ratio of the total number of students scoring marks less than 50% to that of scoring marks exactly 50% is:
Option 1: 111 : 12
Option 2: 111 : 24
Option 3: 101 : 24
Option 4: 101 : 12
Correct Answer: 111 : 24
Solution :
As per the given graph,
The total number of students = 600 + 400 + 375 + 350 + 300 = 2025
The number of students scoring marks less than 50% = 270 + 120 + 300 + 220 + 200 = 1110
The number of students scoring marks more than 50% = 600 × 0.55 + 400 × 0.4 + 375 × 0.20 + 350 × 0.1 + 300 × 0.25 = 330 + 160 + 75 + 35 + 75 = 675
The number of students scoring exactly 50% = 2025 – 1110 – 675 = 240
The required ratio = 1110 : 240 = 111 : 24
Hence, the correct answer is 111 : 24.
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