If Rs 840 is divided between A and B in the ratio `4 : 3` then B's share is

Options

A. Rs 480
B. Rs 360
C. Rs 320
D. Rs 540

Answer

To find B's share when Rs 840 is divided between A and B in the ratio of 4:3, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Ratio**:
The given ratio of A to B is 4:3. This means that for every 4 parts A receives, B receives 3 parts.

2. **Calculate the Total Parts**:
To find the total number of parts, we add the parts of A and B together:
\[ \text{Total parts} = 4 + 3 = 7 \]

3. **Determine the Value of Each Part**:
Now, we need to find the value of one part. We do this by dividing the total amount (Rs 840) by the total number of parts (7):
\[ \text{Value of one part} = \frac{840}{7} = 120 \]

4. **Calculate B's Share**:
Since B's part of the ratio is 3, we multiply the value of one part by B's ratio:
\[ \text{B's share} = 3 \times 120 = 360 \]

5. **Conclusion**:
Therefore, B's share is Rs 360.

### Final Answer:
B's share is Rs 360.

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