Multiple choice

In a mixture of water and spirit, water is 40%. When 25 liter water is added in the mixture ratio of water and spirit becomes 3:2. Find the initial quantity of water in the mixture.

  1. 24 liters

  2. 36 liters

  3. 15 liters

  4. 20 liters

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

Let initial mixture = 100L (water = 40L, spirit = 60L). After adding 25L water: water = 65L, spirit = 60L. New ratio 65:60 = 13:12, not 3:2. Try initial water = W: W/(W+60) = 40/100 gives W = 40. After adding 25L: (40+25)/(60) = 65/60 = 13:12. Need W+25 = 1.5 × spirit. If spirit = S, W = 0.67S. Then (0.67S + 25)/S = 3/2. S = 50, so W = 20L. Answer D is correct.

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