If ₹ 760 is divided between A and B in the ratio 8:11, then B's share is

Options

A. ₹ 440
B. ₹320
C. ₹430
D. ₹330

Answer

To solve the problem of dividing ₹760 between A and B in the ratio of 8:11, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Ratio**: The ratio of A's share to B's share is 8:11. This means for every 8 parts A gets, B gets 11 parts.

2. **Calculate Total Parts**: Add the parts of the ratio together:
\[ 8 + 11 = 19 \text{ parts} \]

3. **Determine the Value of One Part**: To find the value of one part, divide the total amount (₹760) by the total number of parts (19):
\[ \text{Value of one part} = \frac{760}{19} = 40 \]

4. **Calculate B's Share**: Since B's share corresponds to 11 parts, multiply the value of one part by 11:
\[ B's \text{ share} = 11 \times 40 = 440 \]

5. **Conclusion**: Therefore, B's share is ₹440.

### Summary of the Solution:
- Total amount = ₹760
- Ratio of A to B = 8:11
- Total parts = 19
- Value of one part = ₹40
- B's share = ₹440