A mixture contains milk and water in the ratio 5 : 3. If 16 litres of water is added to the mixture, the ratio becomes 5 : 7. What was the initial quantity of the mixture?

Given

Initial ratio of milk : water = 5 : 3
Water added = 16 litres
New ratio = 5 : 7

Solution

Step 1: Assume initial quantities

Let the mixture be:

Total mixture:

Step 2: Add water

Water becomes:

Milk remains:

New ratio:

Step 3: Solve

Step 4: Find total mixture

✅ Answer

32 litres (Option A)