Question

A mixture has milk and water in the ratio 4:1. If 5 liters of water is added, the ratio becomes 2:1. Find the original milk quantity.

• A. 10 liters
• B. 20 liters
• C. 30 liters
• D. 40 liters

Hint:

For ratio changes, set up equations based on the new ratio after adding/removing quantities.

Answer 1

The Correct Option is B

- Step 1: Set up ratios. Milk = $4x$, water = $x$. After adding 5 liters water: milk = $4x$, water = $x + 5$. New ratio: $\frac{4x}{x + 5} = \frac{2}{1}$.
- Step 2: Solve. $4x = 2(x + 5) \implies 4x = 2x + 10 \implies 2x = 10 \implies x = 5$.
- Step 3: Find milk. Milk = $4x = 4 \cdot 5 = 20$ liters.
- Step 4: Verify. Original: $4:1$, milk = 20, water = 5. After 5 liters: water = $5 + 5 = 10$, ratio = $20:10 = 2:1$.
- Step 5: Conclusion. Option (2) 20 liters is correct.