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

Answer: (B)

73

Answer 2

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.