Multiple choice

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?

  1. 110 liters

  2. 120 liters

  3. 160 liters

  4. 180 liters
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Use the alligation rule: (Price 2 - Mean) / (Mean - Price 1) = (60-52) / (52-40) = 8 / 12 = 2/3. If the second variety is 240 liters, then 2/3 = 240 / x, so x = 160 liters.

AI explanation

Apply the alligation method to the prices of the two oils, which are Rs.40 and Rs.60, to achieve a mean price of Rs.52. The required ratio of the first to the second variety is (60 - 52):(52 - 40), resulting in 8:12 or 2:3. Since the second variety is 240 liters, multiply 80 by 2 to find that 160 liters of the first variety are needed.

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