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How many liters of oil at Rs.40 per liter should be mixed with 240 liters of a second variety of oil at Rs.60 per liter so as to get a mixture whose cost is Rs.52 per liter?

Correct answer: D. 160 liters

  • A. 120 liters
  • B. 180 liters
  • C. 110 liters
  • D. 160 liters

Explanation

Let x litres of the Rs.40 per litre oil be added. Equating total cost to the cost of the mixture gives 40x + 240 litres x Rs.60 per litre = Rs.52 per litre x (x + 240 litres), so 40x + Rs.14,400 = 52x + Rs.12,480 and x = 160 litres. The likely mistake is option b, 180 litres, from estimating rather than equating the total costs.

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