Solution:
From the table:
Number of filled seat in aisle and mid of Bus A = 25 + 25 = 50
Number of vacant seats of mid and front in Bus C = 5 + 20 = 25
∴ Required difference = 50 – 25 = 25
∴ The difference between the number of filled seat in aisle and mid of Bus A and vacant seats of mid and front in Bus C is 25
Common explanation:
There are 4 buses A, B, C and D each bus has 120 seats consisting of the aisle, mid and front seats and the number of seats of each type is equal.
∴ Number of Isle seats = Number of mid seats = Number of front seats = 120/3 = 40
For Bus A:
The number of filled seats in the aisle is 10 more than the vacant seats
∴ Let the number of vacant seats in the aisle be x
Then, the number of filled seats in the aisle be x + 10
∴ x + x + 10 = 40
⇒ 2x = 30
⇒ x = 15
∴ Number of vacant seats in the aisle = 15
Number of filled seats in the aisle = 25
The ratio of filled and vacant seats in mid-row is 5 ∶ 3
∴ Let the number of filled and vacant seats in the mid-row be 5x and 3x respectively
∴ 5x + 3x = 40
⇒ 8x = 40
⇒ x = 5
∴ Number of filled and vacant seats in the mid row = 5 × 5 = 25
Number of vacant seats in the mid row = 3 × 5 = 15
The front seats in Bus A is 70% filled
∴ Number of front seats filled = (70/100) × 40 = 28
Number of vacant seats in front = 40 – 28 = 12
For Bus C:
The front seat filled is 25% more than the number of filled seats in front row of Bus A
∴ Number of front seats filled in Bus C = (125/100) × 28 = 35
Number of vacant front seats = 40 – 35 = 5
Ratio of filled seats between aisle seats of Bus A and Bus C is 5 ∶ 7
∴ Let the number of filled aisle seats of Bus A and Bus C be 5x and 7x respectively
Number of filled seats in the aisle of Bus A = 25
∴ 5x = 25
⇒ x = 5
∴ Number of filled seats in the aisle of Bus C = 7 × 5 = 35
Number of vacant seats in the aisle of Bus C = 40 – 35 = 5
The number of vacant seats and filled seats of mid-row is same in Bus C
∴ Number of vacant seats of mid-row = Number of filled seats of mid-row = 40/2 = 20
For Bus B:
In bus B 60% front seat is vacant and 30% of the aisle seats are empty
∴ Number of vacant seats in front = (60/100) × 40 = 24
Number of filled seats in front = 40 – 24 = 16
Number of vacant seats in aisle = (30/100) × 40 = 12
Number of filled seats in aisle = 40 – 12 = 28
Mid seats filled in bus B is 50% more than the filled seats of the aisle in Bus D
Number of vacant aisle seats in bus D is 32
∴ Number of filled aisle seats = 40 – 32 = 8
Number of filled mid seats in B = (150/100) × 8 = 12
Number of vacant mid seats in B = 40 – 12 = 28
For Bus D:
The ratio between vacant and filled of mid seats in Bus D is 1 ∶ 3
∴ Number of vacant seats in mid = 10
Number of filled seats in mid = 30
45% seats of front in Bus D is vacant
∴ Number of vacant seats in front = (45/100) × 40 = 18
Number of filled seats in front = 40 – 18 = 22
Number of vacant aisle seats in bus D is 32
∴ Number of filled aisle seats = 40 – 32 = 8
Following table can be prepared from the above data:
| Bus | Font seats | Mid seats | Aisle seats | | | |
|---|
| Filled | Vacant | Filled | Vacant | Filled | Vacant | |
| A | 28 | 12 | 25 | 15 | 25 | 15 |
| B | 16 | 24 | 12 | 28 | 28 | 12 |
| C | 35 | 5 | 20 | 20 | 35 | 5 |
| D | 22 | 18 | 30 | 10 | 8 | 32 |