Divide ₹ 16250 among A, B, C in the ratio 5 : 7 : 13

Answer

To divide ₹ 16250 among A, B, and C in the ratio of 5:7:13, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Ratio**: The ratio of A, B, and C is given as 5:7:13. This means that for every 5 parts A gets, B gets 7 parts, and C gets 13 parts.

2. **Calculate Total Parts in the Ratio**:
\[ \text{Total parts} = 5 + 7 + 13 = 25 \]

3. **Determine the Value of One Part**:
To find out how much one part is worth, divide the total amount (₹ 16250) by the total number of parts (25).
\[ \text{Value of one part} = \frac{16250}{25} = 650 \]

4. **Calculate Amount for Each Person**:
- For A:
\[ \text{Amount for A} = 5 \times 650 = 3250 \]
- For B:
\[ \text{Amount for B} = 7 \times 650 = 4550 \]
- For C:
\[ \text{Amount for C} = 13 \times 650 = 8450 \]

5. **Verify the Total Amount**:
To ensure that the amounts add up to the total of ₹ 16250, we can add the amounts for A, B, and C:
\[ 3250 + 4550 + 8450 = 16250 \]

### Final Distribution:
- A receives ₹ 3250
- B receives ₹ 4550
- C receives ₹ 8450