`₹ 73,689/-` are divided between A and B in the ratio `4:7`. What is the difference between thrice the share of A and twice the share of B ?

Options

A. `₹36,699//-`
B. `₹46,893//-`
C. `₹20,097//-`
D. `₹13,398//-`

Explanation

To solve the problem step by step, we will first determine the shares of A and B based on the given ratio, and then find the required difference.

### Step 1: Understand the ratio and total amount
The total amount to be divided between A and B is ₹73,689, and they are to be divided in the ratio of 4:7.

### Step 2: Calculate the total parts in the ratio
The total parts in the ratio can be calculated as follows:
\[ \text{Total parts} = 4 + 7 = 11 \]

### Step 3: Determine the value of one part
Now, we can find the value of one part by dividing the total amount by the total parts:
\[ \text{Value of one part} = \frac{73,689}{11} = 6,699 \]

### Step 4: Calculate the shares of A and B
Now we can calculate the shares of A and B:
- Share of A:
\[ \text{Share of A} = 4 \times 6,699 = 26,796 \]
- Share of B:
\[ \text{Share of B} = 7 \times 6,699 = 46,893 \]

### Step 5: Calculate thrice the share of A and twice the share of B
Now we need to calculate thrice the share of A and twice the share of B:
- Thrice the share of A:
\[ 3 \times \text{Share of A} = 3 \times 26,796 = 80,388 \]
- Twice the share of B:
\[ 2 \times \text{Share of B} = 2 \times 46,893 = 93,786 \]

### Step 6: Find the difference between these two amounts
Finally, we find the difference between thrice the share of A and twice the share of B:
\[ \text{Difference} = 93,786 - 80,388 = 13,398 \]

### Final Answer
The difference between thrice the share of A and twice the share of B is **₹13,398**.

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