A mini-bus, having a capacity of 32 passengers, operates between two places - 'A' and 'B'. The distance between the place 'A' and place 'B' is 30…

CA Intermediate · Cost and Management Accounting · MTP · September 2024
A mini-bus, having a capacity of 32 passengers, operates between two places - 'A' and 'B'. The distance between the place 'A' and place 'B' is 30 km. The bus makes 10 round trips in a day for 25 days in a month. On an average, the occupancy ratio is 70% and is expected throughout the year. The details of other expenses are as under: Amount (₹) Insurance 15,600 Per annum Garage Rent 2,400 Per quarter Road Tax 5,000 Per annum Repairs 4,800 Per quarter Salary of operating staff 7,200 Per month Tyres and Tubes 3,600 Per quarter Diesel: (one litre is consumed for every 5 km) 13 Per litre Oil and Sundries 22 Per 100 km run Depreciation 68,000 Per annum Passenger tax @ 22% on total taking is to be levied and bus operator requires a profit of 25% on total taking. PREPARE operating cost statement on the annual basis and find out the cost per passenger kilometer and one way fare per passenger.

Suggested Answer and Working Notes:

Operating Cost Statement Particulars Total Cost Per annum (₹) A. Fixed Charges: Insurance 15,600 Garage rent (₹ 2,400 × 4 quarters) 9,600 Road Tax 5,000 Salary of operating staff (7,200 × 12 months) 86,400 Depreciation 68,000 Total (A) 1,84,600 B. Variable Charges: Repairs (4,800 × 4 quarters) 19,200 Tyres and Tubes (₹ 3,600 × 4 quarters) 14,400 Diesel {(1,80,000 km. ÷ 5 km.) × 13} 4,68,000 Oil and Sundries {(1,80,000 km. ÷ 100 km.) × 22} 39,600 Total (B) 5,41,200 Total Operating Cost (A+B) 7,25,800 Add: Passenger tax (Refer to WN-1) 3,01,275 Add: Profit (Refer to WN-1) 3,42,359 Total takings 13,69,434 Calculation of Cost per passenger kilometre and one way fare per passenger: Cost per Passenger-Km. = (Total Operating Cost) / (Total Passenger-Km.) = 7,25,800 / 40,32,000 Passenger -Km. = 0.18 One way fare per passenger = (Total Takings) / (Total Passenger -Km.) × 30Km. = 13,69,434 / 40,32,000 Passenger-Km. × 30km = 10.20 Working Notes: Let total taking be X then Passenger tax and profit will be as follows: X = 7,25,800 + 0.22 X + 0.25X X – 0.47 X = 7,25,800 X = 7,25,800 / 0.53 = 13,69,434 Passenger tax = 13,69,434 × 0.22 = 3,01,275 Profit = 13,69,434 × 0.25 = 3,42,359Total Kilometres to be run during the year = 30 km.x 2 sides × 10 trips × 25 days × 12 months = 1,80,000 KilometresTotal passenger Kilometres = 1,80,000 km. × 32 passengers × 70% = 40,32,000 Passenger-km.

Topics: Service Costing

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