Question

Shatabadi Express has a capacity of 500 seats of which 10\(\%\) are in the Executive Class and the rest being Chair Cars. During one journey, the train was booked to 85\(\%\) of its capacity. If Executive Class was booked to 96\(\%\) of its capacity, then how many Chair Car seats were empty during that journey?

• A. 75
• B. 73
• C. 71
• D. None of these

Answer 1

The Correct Option is B

The correct option is (B): 73
To find how many Chair Car seats were empty during the journey, we can follow these steps:

1. Determine the number of Executive Class and Chair Car seats:
- Total seats: \( 500 \)
  - Executive Class seats: \( 10\% \) of \( 500 = 0.10 \times 500 = 50 \)
  - Chair Car seats: \( 500 - 50 = 450 \)

2. Calculate the total booked seats:
  - The train was booked to \( 85\% \) of its capacity:
  \[\text{Total booked seats} = 85\% \times 500 = 0.85 \times 500 = 425\]

3. Calculate the booked Executive Class seats:
  - Executive Class was booked to \( 96\% \) of its capacity:
  \[\text{Booked Executive Class seats} = 96\% \times 50 = 0.96 \times 50 = 48\]

4. Determine the booked Chair Car seats:
  - Total booked seats are \( 425 \), and the booked Executive Class seats are \( 48 \):
  \[\text{Booked Chair Car seats} = 425 - 48 = 377\]

5. Calculate the empty Chair Car seats:
  - Total Chair Car seats are \( 450 \):
  \[\text{Empty Chair Car seats} = 450 - 377 = 73\]

Thus, the number of empty Chair Car seats during that journey is 73.