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Question

A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?

Options:
A .  Rs. 7.98
B .  Rs. 8
C .  Rs. 8.50
D .  Rs. 9
Answer: Option A

Total quantity of petrol 
consumed in 3 years = \(\left(\frac{4000}{7.50}+\frac{4000}{8}+\frac{4000}{8.50}\right)liters\)


\(=4000\left(\frac{2}{15}+\frac{1}{8}+\frac{2}{17}\right)liters\)


\(=\left(\frac{76700}{51}\right)liters\)


Total amount spent = Rs. (3 x 4000) = Rs. 12000.


Therefore Average Cost = Rs.\(\left(\frac{1700\times51}{76700}\right)=Rs.\frac{6120}{767}=Rs.7.98\)


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