Multiple choice

Raman has a mixture of milk and water in the ratio 5 : 4. If 16 litres of water is added to the mixture, the ratio turns into 5 : 6. Find out the total quantity of milk in the given mixture.

  1. 38 litres

  2. 40 litres

  3. 480 litres

  4. 384 litres

  5. 500 litres
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the initial quantities be 5x and 4x. Adding 16 liters of water changes the ratio to 5x / (4x + 16) = 5/6. Solving this gives 30x = 20x + 80, so 10x = 80 and x = 8. The milk quantity is 5 * 8 = 40 litres.

AI explanation

Let the initial quantities of milk and water be 5x and 4x litres respectively. When 16 litres of water is added, the new ratio equation becomes 5x divided by the sum of 4x and 16 equals 5 divided by 6. Cross-multiplying yields 30x equals 20x plus 80, so 10x equals 80, making the value of x equal to 8. The total quantity of milk is 5x, which is 5 multiplied by 8, resulting in 40 litres.

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