Multiple choice

In a mixture of water and salt, water is 60%. When 40 liter water is added in the mixture ratio of water and salt becomes 5:3, find the initial quantity of the mixture.

  1. 240 liters

  2. 360 liters

  3. 450 liters

  4. 600 liters

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

Initial mixture has 60% water, so 40% salt. Let initial quantity = x. Salt = 0.4x. After adding 40 L water, total = x + 40, and water:salt = 5:3, so salt = 3/8 × (x + 40). Since salt amount unchanged: 0.4x = 3/8 × (x + 40). 0.4x = 0.375(x + 40). 0.4x = 0.375x + 15. 0.025x = 15. x = 600.

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