One morning after purchasing 6 litres of milk from a milk man, a householder found that the weight of this quantity of milk was 6.144 kg. If one litre of the pure milk weighs 1.032 kg and that of one litre of the pure water 1 kg. then how much water was added to milk?

Options

A. 0.5kg
B. 1.2kg
C. 0.05kg
D. 1.5kg

Answer

To solve the problem, we need to determine how much water was added to the 6 liters of milk based on the given weights.

### Step-by-Step Solution:

1. **Identify the weight of pure milk and water:**
- The weight of 1 liter of pure milk = 1.032 kg
- The weight of 1 liter of pure water = 1 kg

2. **Calculate the weight of 6 liters of pure milk:**
\[ \text{Weight of 6 liters of pure milk} = 6 \times 1.032 \, \text{kg} = 6.192 \, \text{kg} \]

3. **Given weight of the mixture:**
- The total weight of the mixture (milk + water) = 6.144 kg

4. **Determine the weight of the water added:**
- Let \( x \) be the weight of the water added.
- The weight of the mixture can be expressed as:
\[ \text{Weight of milk} + \text{Weight of water} = \text{Weight of mixture} \]
- We know that the weight of the milk is 6.192 kg, and the weight of the mixture is 6.144 kg. Thus:
\[ 6.192 \, \text{kg} - x = 6.144 \, \text{kg} \]

5. **Solve for \( x \):**
\[ x = 6.192 \, \text{kg} - 6.144 \, \text{kg} = 0.048 \, \text{kg} \]

6. **Convert the weight of water to liters:**
- Since 1 liter of water weighs 1 kg, the weight of 0.048 kg of water corresponds to:
\[ \text{Volume of water} = 0.048 \, \text{liters} \]

### Final Answer:
The amount of water added to the milk is **0.048 kg**.