My Scooty gives an average of 40 kmpl of petrol But…

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My Scooty gives an average of 40 kmpl of petrol. But after recent filling at the new petrol pump, its average dropped to 38 kmpl. I investigated and found out that it was due to adulterated petrol. Petrol pimps add kerosene, which is $$\frac{2}{3}$$  cheaper than petrol, to increase their profits. Kerosene generates excessive smoke and knocking and gives an average of 18 km per 900 ml. If I paid Rs. 30 for a litre of petrol, What was the additional amount the pump-owner was making?

  1. A. Rs. 1.75
  2. B. Rs. 1.80
  3. C. Rs. 2
  4. D. Rs. 2.30

Answer: Option C

Here is complete explanation of My Scooty gives an average of 40 kmpl of petrol But….

Solution(By ExamCraze Team)

Let x ml of kerosene be there in 1 litre mixture.
Then, quantity of petrol in 1 litre mixture = (1000 - x) ml
$$therefore frac{{40}}{{1000}}left( {1000 - x} right)$$   $$ + frac{{18}}{{900}}x$$   = 38
$$eqalign{ & Rightarrow frac{x}{{25}} - frac{x}{{50}} = 2 cr & Rightarrow frac{x}{{50}} = 2 cr & Rightarrow x = 100 cr} $$
So, 1 litre mixture has 900 ml petrol and 100 ml kerosene.
Cost of 1 litre petrol = Rs. 30
Cost of 1 litre kerosene
= Rs. $$left[ {left( {1 - frac{2}{3}} right) times 30} right]$$
= Rs. 10
Coast of 1 litre mixture
= Rs. $$left( {frac{{30}}{{1000}} times 900 + frac{{10}}{{1000}} times 100} right)$$
= Rs. 28
∴ Additional amount earned by pump-owner
= Rs. (30 - 28)
= Rs. 2

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