Xavier Aptitude Test 2012 Paper

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DIRECTIONS (Qs. 69-70): On the based of the following information
Ramya, based in Shanpur, took her car for a 400 km trip to Rampur. She maintained a log of the odometer readings and the amount of petrol she purchased at different petrol pumps at different prices (given below). Her car already had 10 litres of petrol at the start of the journey, and she first purchased petrol at the start of the journey, as given in the table below, and she had 5 litres remaining at the end of the journey.

	OdometerReading(Km)	Petrolpurchased( Litre )	Rate ofPetrol( ₹/litre )
Start of journey	400	20	30
	600	15	35
	650	10	40
End of journey	800

Question : 70 of 85

Marks: +1, -0

Her car's tank-capacity is 35 litres. Petrol costs ` 45/ litre in Rampur. What is the minimum amount of money she would need for purchasing petrol for the return trip from Rampur to Shanpur, using the same route? Assume that the mileage of the car remains unchanged throughout the route, and she did not use her car to travel around in Rampur.

1714
1724
1734
1744
Data insufficient to answer

Validate

Solution:

(d) Ramya’s car has 5 litres in the tank. She can fill a maximum of 30 litres more as tank capacity is 35 litres.
The cost of petrol in Rampur is Rs. 45/litre. As the cost of petrol is lower at all the succeeding petrol pumps and hence to min. the cost she will fill enough petrol to reach the first pump i.e. 150 km.
Initially she can travel 8 × 5 = 40 km using 5 litres of petrol.
Hence to travel 110 km, she will need =

110/8

= 13.75 litre at the rate of 45 per litre
On reaching the first petrol pump in the reverse journey, she will fill up enough petrol to reach the second petrol pump as the cost of petrol in the second pump is less than the cost of first pump and the distance is 50 km.
∴ She needs =

50 /8

= 6.25 litre at the rate of Rs.40 per litre
For the rest of the journey (200 km) she will need =

200/8

= 25 litres at the rate of Rs.35/litre
Hence total cost = 1375 × 45 + 6.25 × 40 + 25 × 35
= 1743.75 ≃ 1744

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