A milk container fully fills with milk when 48 litres of milk is poured in the container. If its `7/12` part was filled by milk and half portion of the milk is taken out, then how much milk should be added to fill the container fully?

Options

A. 14 l
B. 28 l
C. 34 l
D. 40 l

Answer

To solve the problem step by step, we will follow the given information and perform the necessary calculations.

### Step 1: Determine the total capacity of the container.
The total capacity of the milk container is given as 48 litres.

### Step 2: Calculate how much milk is initially filled.
The problem states that `7/12` of the container is filled with milk. To find out how much milk this is, we calculate:
\[ \text{Milk filled} = \frac{7}{12} \times 48 \text{ litres} \]
\[ \text{Milk filled} = \frac{7 \times 48}{12} = \frac{336}{12} = 28 \text{ litres} \]

### Step 3: Determine how much milk is taken out.
Half of the milk that is filled is taken out. Since 28 litres were filled, half of this amount is:
\[ \text{Milk taken out} = \frac{1}{2} \times 28 \text{ litres} = 14 \text{ litres} \]

### Step 4: Calculate the remaining milk in the container.
After taking out 14 litres, the remaining amount of milk in the container is:
\[ \text{Remaining milk} = 28 \text{ litres} - 14 \text{ litres} = 14 \text{ litres} \]

### Step 5: Determine how much more milk is needed to fill the container.
To find out how much more milk is needed to fill the container to its full capacity of 48 litres, we subtract the remaining milk from the total capacity:
\[ \text{Milk needed} = 48 \text{ litres} - 14 \text{ litres} = 34 \text{ litres} \]

### Conclusion:
Therefore, the amount of milk that should be added to fill the container fully is **34 litres**.

---