Multiple choice

Milk and water in a vessel are in the ratio 4 : 5. The vessel would be full when an additional 8 litres of milk is filled in it and the ratio of milk and water becomes 6 : 5. What is the capacity of the vessel?

  1. 38 litres

  2. 40 litres

  3. 44 litres

  4. 50 litres

  5. 54 litres

Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

Let the initial volumes of milk and water be 4x and 5x. Adding 8 litres of milk makes the new ratio 6 : 5, so the equation is (4x + 8) divided by 5x equals 6 divided by 5. Cross-multiplying gives 20x plus 40 equals 30x, meaning x equals 4. The initial total volume is 9x, which is 36 litres, and adding 8 litres gives a total capacity of 44 litres.