A car owner buys gasoline at Rs. 17, Rs. 19 & Rs. 21 per liter for three consecutive years. Compute the average cost per liter, if he spends Rs. 6783 per year?

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  1. Rs. 18.49
  2. Rs. 19.20
  3. Rs. 21.66
  4. Rs. 18.85

Answer (Detailed Solution Below)

Option 4 : Rs. 18.85
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Detailed Solution

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Given:

Per year expenditure on gasoline = Rs. 6783

Calculation:

Total amount spent in three years = 3 × 6783 = Rs. 20349

Total quantity of petrol consumed in 1st year = \(6783\over17\) =  399 L

Total quantity of petrol consumed in the 2nd year = \(6783\over19\) = 357 L

Total quantity of petrol consumed in the 3rd year = \(6783\over21\) = 323 L

∴ Average cost = \(20349\over 399+357+323\) = Rs. 18.8591/litre ≈ Rs. 18.85/litre

∴ The correct answer is Rs.18.85/litre.

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