Multiple choice

The concentration of petrol in three different mixtures (petrol and kerosene) is 1/2, 3/5 and 4/5 respectively. If 2 litres, 3 litres and 1 litre are taken from these three different vessels and mixed. What is the ratio of petrol and Kerosene in the new mixture?

  1. 1:3

  2. 3:2

  3. 5:2

  4. 5:3

  5. None of these
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B Correct answer
Explanation

Petrol amounts: 2 * (1/2) = 1, 3 * (3/5) = 1.8, 1 * (4/5) = 0.8. Total petrol = 3.6. Kerosene amounts: 2 * (1/2) = 1, 3 * (2/5) = 1.2, 1 * (1/5) = 0.2. Total kerosene = 2.4. Ratio = 3.6 : 2.4 = 36 : 24 = 3 : 2.

AI explanation

Using the given concentrations, the petrol taken from the three vessels is 2 times 1/2, 3 times 3/5, and 1 times 4/5, giving 1 litre, 1.8 litres, and 0.8 litres respectively. The total petrol in the new mixture is 1 + 1.8 + 0.8 = 3.6 litres. The total mixture volume is 2 + 3 + 1 = 6 litres, leaving 6 - 3.6 = 2.4 litres of kerosene. The ratio of petrol to kerosene is 3.6 : 2.4, which simplifies to 3:2.

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