A car owner buys petrol at Rs. 7.50,Rs. 8,and | vedclass

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(A) In the first year,petrol consumed $= \frac{4000}{7.5}$ litres.In the second year,petrol consumed $= \frac{4000}{8}$ litres.In the third year,petro

Vedclass · Accepted Answer

$7.98$

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(A) In the first year,petrol consumed $= \frac{4000}{7.5}$ litres.In the second year,petrol consumed $= \frac{4000}{8}$ litres.In the third year,petrol consumed $= \frac{4000}{8.5}$ litres.Total expenditure $= 4000 + 4000 + 4000 = 12000$ Rs.Total petrol consumed $= 4000 	imes (\frac{1}{7.5} + \frac{1}{8} + \frac{1}{8.5})$ litres.Average cost per litre $= \frac{	ext{Total Expenditure}}{	ext{Total Petrol Consumed}} = \frac{12000}{4000 	imes (\frac{1}{7.5} + \frac{1}{8} + \frac{1}{8.5})} = \frac{3}{\frac{1}{7.5} + \frac{1}{8} + \frac{1}{8.5}}$.Calculating the denominator: $\frac{1}{7.5} + \frac{1}{8} + \frac{1}{8.5} = \frac{1}{7.5} + 0.125 + \frac{1}{8.5} \approx 0.1333 + 0.125 + 0.1176 = 0.3759$.Average cost $= \frac{3}{0.3759} \approx 7.98$ Rs./litre.

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

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