Rs 63,800 is to be divided between A and B in the ratio 4 : 7. The difference between their shares (in Rs) is:

Options

A. 23200
B. 40600
C. 25000
D. 17400

Answer

To find the difference between the shares of A and B when Rs 63,800 is divided in the ratio of 4:7, we can follow these steps:

### Step 1: Understand the Ratio
The ratio of A to B is given as 4:7. This means that for every 4 parts A receives, B receives 7 parts.

### Step 2: Calculate the Total Parts
To find the total number of parts in the ratio, we add the parts of A and B together:
\[ \text{Total parts} = 4 + 7 = 11 \]

### Step 3: Find the Value of One Part
Next, we need to find the value of one part by dividing the total amount (Rs 63,800) by the total number of parts (11):
\[ \text{Value of one part} = \frac{63,800}{11} = 5,800 \]

### Step 4: Calculate A's and B's Shares
Now, we can calculate the shares of A and B:
- A's share = \(4 \times 5,800 = 23,200\)
- B's share = \(7 \times 5,800 = 40,600\)

### Step 5: Find the Difference Between Their Shares
Finally, we find the difference between B's share and A's share:
\[ \text{Difference} = B's \text{ share} - A's \text{ share} = 40,600 - 23,200 = 17,400 \]

### Final Answer
The difference between their shares is Rs 17,400.

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