Question
Download Solution PDFComprehension
Directions: Study the following information carefully and answer the questions.
The given table DI shows the total number of passengers (male and female) who travelled in trains A and B, as well as the number of passengers who travelled in train A.
| Days | Total number of passengers who travelled in trains A and B together | Out of the total number of passengers, the fraction of passengers who travelled by train A |
| Monday | 165 | 7/11 |
| Tuesday | 135 | 2/5 |
| Wednesday | 180 | 8/15 |
| Thursday | 144 | 3/8 |
On which day was the percentage of passengers who travelled in Train A less than the percentage of passengers who travelled in Train B by the greatest margin?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGeneral Solution:
| Day | Total Passengers | Fraction in Train A | Passengers in Train A | Passengers in Train B |
|---|---|---|---|---|
| Monday | 165 | 7/11 | 165 × 7 ÷ 11 = 105 | 165 - 105 = 60 |
| Tuesday | 135 | 2/5 | 135 × 2 ÷ 5 = 54 | 135 - 54 = 81 |
| Wednesday | 180 | 8/15 | 180 × 8 ÷ 15 = 96 | 180 - 96 = 84 |
| Thursday | 144 | 3/8 | 144 × 3 ÷ 8 = 54 | 144 - 54 = 90 |
Calculations:
Let’s calculate % difference between Train B and Train A for each day:
Monday:
A = 105 → 105/165 × 100 = 63.64%
B = 60 → 60/165 × 100 = 36.36%
Diff = 36.36% – 63.4% = -27.28%
Tuesday:
A = 54 → 40%
B = 81 → 60%
Diff = 20%
Wednesday:
A = 96 → 53.33%
B = 84 → 46.67%
Diff = 6.66%
Thursday:
A = 54 → 37.5%
B = 90 → 62.5%
Diff = 25%
Thursday: 62.5 – 37.5 = 25% → greatest margin
Thus, the correct answer is Thursday.
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