A logistics company charges ₹15 per km for the first 80 km and ₹12.5 per km thereafter. A consignment was transported for a total of 132.5 km and the total cost was split in the ratio 2:3 between the sender and receiver. What amount did the receiver pay?
Show answer & explanation
Correct answer: D
Explanation
Given:
Charge for the first 80 km = ₹15 per km
Charge for the next 80 km = ₹12.5 per km
Total distance = 132.5 km
Ratio (sender : receiver) = 2 : 3
Formula:
Total cost = (first distance × rate) + (remaining distance × rate)
Cost for the first 80 km = 80 × 15 = 1200
Remaining distance = 132.5 − 80 = 52.5 km
Cost for the remaining distance = 52.5 × 12.5 = 656.25
Total cost = 1200 + 656.25 = 1856.25
Total ratio = 2 + 3 = 5
Receiver's share = (3 / 5) × 1856.25 = ₹1113.75