Question 116

A petrol tank at a filling station has a capacity of 400 litres. The attendant sells 40 litres of petrol from the tank to one customer and then replenishes it with kerosene oil. This process is repeated with six customers. What quantity of pure petrol will the seventh customer get when he purchases 40 litres of petrol?

Name: A petrol tank at a filling station has a capacity of 400 litres. The attendant sells 40 litres of petrol from the tank to one customer and then replenishes it with kerosene oil. This process is repeated with six customers. What quantity of pure petrol will the seventh customer get when he purchases 40 litres of petrol?
Uploaded: Sept. 23, 2024, 4:40 p.m.
Duration: 3 min 28 s
Description: A petrol tank at a filling station has a capacity of 400 litres. The attendant sells 40 litres of petrol from the tank to one customer and then replenishes it with kerosene oil. This process is repeated with six customers. What quantity of pure petrol will the seventh customer get when he purchases 40 litres of petrol?

Solution

From 2nd customer for each customer the purity of oil becomes 0.9 of it's previous value i.e. 2nd customer will get only 40*0.9=36 liters of pure petrol 3rd customer will get 36*0.9= 32.4 liters of pure petrol and so on. Therefore the 7th customer will get $$40*(0.9)^6$$= 21.25 liters of pure petrol

Therefore our answer is option 'B'.

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