A bus and a truck are available to cross a jungle. The speed of the truck is thrice that of the bus. The capacity of the truck is 50 persons and that of bus is 30 persons. The average occupancy of the bus is twice that of the truck. The tickets for the bus and the truck cost Rs 1 and Rs 1.50 respectively. What is the ratio of the average rupee collection of the truck to that of the bus in a day? Assume there is no wastage time between trips and the occupancy of the bus / truck is defined as the ratio of the actual number of persons boarding it and its capacity.
A bus and a truck are available to cross a jungle. The speed of the truck is thrice that of the bus. The capacity of the truck is 50 persons and that of bus is 30 persons. The average occupancy of the bus is twice that of the truck. The tickets for the bus and the truck cost Rs 1 and Rs 1.50 respectively. What is the ratio of the average rupee collection of the truck to that of the bus in a day? Assume there is no wastage time between trips and the occupancy of the bus / truck is defined as the ratio of the actual number of persons boarding it and its capacity. Correct Answer <span lang="EN-IN" style=" line-height: 107%; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">15 : 4</span>
Given:
Capacity of Truck = 50
Capacity of Bus = 30
Ticket for Bus = Rs. 1, Ticket for Truck = Rs. 1.5
(Speed of Truck) : (Speed of Bus) = 3 : 1
(Occupancy of Bus) : (Occupancy of Truck) = 2 : 1
Formula Used:
Average Rupee collection = Speed × capacity × Occupancy × Ticket rate
Calculation:
Ratio of average Rupee collection of truck to that of bus = Product of above rates
(3 × 50 × 1 × 1.5) : (1 × 30 × 2 × 1)
15 : 4