Divide ₹ 3400 between A and B in the ratio 6 : 11

Answer

To divide ₹ 3400 between A and B in the ratio of 6:11, follow these steps:

### Step 1: Understand the Ratio
The ratio of A to B is given as 6:11. This means that for every 6 parts A receives, B receives 11 parts.

### Step 2: Set Up the Variables
Let A receive ₹ 6x and B receive ₹ 11x, where x is a common multiplier.

### Step 3: Write the Equation
The total amount of money to be divided is ₹ 3400. Therefore, we can write the equation:
\[ 6x + 11x = 3400 \]

### Step 4: Combine Like Terms
Combine the terms on the left side of the equation:
\[ 17x = 3400 \]

### Step 5: Solve for x
To find the value of x, divide both sides of the equation by 17:
\[ x = \frac{3400}{17} \]

### Step 6: Calculate x
Now, perform the division:
\[ x = 200 \]

### Step 7: Calculate A's Share
Now that we have the value of x, we can find A's share:
\[ A = 6x = 6 \times 200 = 1200 \]

### Step 8: Calculate B's Share
Next, calculate B's share:
\[ B = 11x = 11 \times 200 = 2200 \]

### Final Answer
Thus, the amount divided between A and B is:
- A receives ₹ 1200
- B receives ₹ 2200

### Summary
The final distribution of ₹ 3400 is:
- A: ₹ 1200
- B: ₹ 2200