Divide Rs 5600 between A, B and C in the ratio ` 1 : 3 : 4`

Answer

To divide Rs 5600 between A, B, and C in the ratio 1 : 3 : 4, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Ratio Parts**:
The ratio given is A : B : C = 1 : 3 : 4. This means:
- A's part = 1
- B's part = 3
- C's part = 4

2. **Calculate the Total Parts**:
To find out how many total parts there are, we add the parts of A, B, and C together:
\[ \text{Total parts} = 1 + 3 + 4 = 8 \]

3. **Determine the Value of One Part**:
Now, we need to find out how much one part is worth. We do this by dividing the total amount (Rs 5600) by the total number of parts (8):
\[ \text{Value of one part} = \frac{5600}{8} = 700 \]

4. **Calculate Each Person's Share**:
- **A's Share**:
\[ A's \, share = 1 \times 700 = 700 \]
- **B's Share**:
\[ B's \, share = 3 \times 700 = 2100 \]
- **C's Share**:
\[ C's \, share = 4 \times 700 = 2800 \]

5. **Verify the Total**:
To ensure our calculations are correct, we can add A's, B's, and C's shares together:
\[ 700 + 2100 + 2800 = 5600 \]
This confirms that the total amount is correctly divided.

### Final Shares:
- A's Share: Rs 700
- B's Share: Rs 2100
- C's Share: Rs 2800