A’s share is 2 times that of B whose share is 3 times that of C. Rs. 1800/- is to be given to them in that ratio. B’s share is

A. Rs. 1080

B. Rs. 540

C. Rs. 180

D. Rs. 900

Options

A. B
B. C
C. D
D. A

Answer

To solve the problem, we need to find B's share given the ratios of A, B, and C's shares. Let's break it down step by step.

### Step 1: Define the shares in terms of a variable
Let the share of C be \( x \).

### Step 2: Express A's and B's shares in terms of \( x \)
According to the problem:
- B's share is 3 times that of C, so B's share = \( 3x \).
- A's share is 2 times that of B, so A's share = \( 2 \times (3x) = 6x \).

### Step 3: Write the total share in terms of \( x \)
Now, we can express the total share of A, B, and C:
\[ \text{Total Share} = A + B + C = 6x + 3x + x = 10x \]

### Step 4: Set up the equation with the total amount
We know that the total amount to be distributed is Rs. 1800. Therefore, we can set up the equation:
\[ 10x = 1800 \]

### Step 5: Solve for \( x \)
To find the value of \( x \), divide both sides by 10:
\[ x = \frac{1800}{10} = 180 \]

### Step 6: Calculate B's share
Now that we have \( x \), we can find B's share:
\[ B's \, share = 3x = 3 \times 180 = 540 \]

### Conclusion
Thus, B's share is Rs. 540.