If Rs 1638 is divided in the ratio of 8:7:11 among, A, B and C respectively, what will be the share of C?

Options

A. a)Rs 693
B. b)Rs 504
C. c)Rs 593
D. d)Rs 441

Answer

To find the share of C when Rs 1638 is divided among A, B, and C in the ratio of 8:7:11, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Ratio**: The ratio of shares for A, B, and C is given as 8:7:11.

2. **Calculate the Total Parts of the Ratio**:
- Add the parts of the ratio together:
\[ 8 + 7 + 11 = 26 \]
- So, the total parts = 26.

3. **Determine the Value of Each Part**:
- To find the value of one part, divide the total amount (Rs 1638) by the total parts (26):
\[ \text{Value of one part} = \frac{1638}{26} = 63 \]

4. **Calculate C's Share**:
- C's share corresponds to 11 parts of the total ratio:
\[ \text{C's share} = 11 \times 63 = 693 \]

5. **Final Answer**:
- Therefore, C's share is Rs 693.