Multiple choice

The ratio of spirit and water in two mixtures of 20 liters and 36 litres is 3 : 7 and 7 : 5 respectively. Both the mixtures are mixed together. Now the ratio of the spirit and water in the new mixture is

  1. 25 : 29

  2. 9 : 10

  3. 27 : 29

  4. 27 : 31
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

In the first mixture (20L), spirit is 3/10 * 20 = 6L and water is 14L. In the second (36L), spirit is 7/12 * 36 = 21L and water is 15L. Total spirit = 6 + 21 = 27L, total water = 14 + 15 = 29L. The ratio is 27:29.

AI explanation

The first 20 litre mixture contains spirit and water in the ratio 3 : 7, meaning it has 6 litres of spirit and 14 litres of water. The second 36 litre mixture has a ratio of 7 : 5, giving 21 litres of spirit and 15 litres of water. Upon mixing, the total spirit is 27 litres and the total water is 29 litres, making the new ratio 27 : 29.

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