Multiple choice

Alcohol costs Rs. 3.50 per litre and kerosene oil costs Rs. 2.50 per litre. In what proportion these should be mixed so that the resulting mixture may be Rs. 2.75 per litre?

  1. 2 : 5

  2. 1 : 3

  3. 4 : 7

  4. 2 : 3

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Using alligation: Price of Alcohol = 3.50, Price of Kerosene = 2.50, Mean Price = 2.75. Difference 1 = |2.75 - 2.50| = 0.25. Difference 2 = |3.50 - 2.75| = 0.75. Ratio = 0.25 : 0.75 = 1 : 3.

AI explanation

Using the rule of alligation with the mean price of Rs. 2.75, the ratio of the quantity of alcohol to kerosene is (2.75 minus 2.50) to (3.50 minus 2.75). This calculates to 0.25 to 0.75, which simplifies to a proportion of 1 to 3.

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