Multiple choice

The ratio of oil and kerosene in the container is 3 : 2 when 10 L of the mixture is taken out and replaced by kerosene, the ratio becomes 2 : 3. Find the quantity of the mixture in the container initially.

  1. 20

  2. 30

  3. 35

  4. 40
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let initial oil = 3x, kerosene = 2x. After removing 10L (6L oil, 4L kerosene) and adding 10L kerosene: oil = 3x - 6, kerosene = 2x - 4 + 10 = 2x + 6. New ratio (3x-6)/(2x+6) = 2/3. Solving: 9x - 18 = 4x + 12; 5x = 30; x = 6. Initial mixture = 5x = 30L.

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