Multiple choice

A vessel contains Milk and water in the ratio 4 : 1. When 6 lts water is added to it, the ratio of milk and water in the solution becomes 3 : 2. How many litres of solution were initially present in the vessel?

  1. 12

  2. 18

  3. 24

  4. 30
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let milk be 4x and water be x. Adding 6 liters of water makes the ratio 4x / (x+6) = 3/2. 8x = 3x + 18, so 5x = 18, x = 3.6. Total initial solution = 5x = 5 * 3.6 = 18 liters.

AI explanation

Let the initial quantities of milk and water be 4x and x. After 6 litres of water is added, the new ratio is 4x to x plus 6, which equals 3 to 2. Solving the equation 8x equals 3x plus 18 gives x equals 3.6. The initial quantity of the solution is 5x, which equals 5 multiplied by 3.6, giving 18 litres.

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