Divide Rs. 3010 among A, B, C respectively in such a way that A gets double of what B gets and B gets double of what C gets.

Options

A. Rs. 1720, Rs. 860, Rs. 430
B. Rs. 1640, Rs. 920, Rs. 450
C. Rs. 1690, Rs. 825, Rs.495
D. Rs. 1800, Rs. 400, Rs. 810

Answer

To divide Rs. 3010 among A, B, and C such that A gets double of what B gets and B gets double of what C gets, we can follow these steps:

### Step-by-Step Solution:

1. **Define Variables:**
- Let C's share be \( x \) rupees.
- According to the problem, B's share is double of C's share, so B's share will be \( 2x \) rupees.
- A's share is double of B's share, so A's share will be \( 2 \times (2x) = 4x \) rupees.

2. **Express Total Share:**
- Now we can express the total amount shared among A, B, and C:
\[ A + B + C = 4x + 2x + x = 7x \]

3. **Set Up the Equation:**
- We know the total amount to be divided is Rs. 3010. Therefore, we can set up the equation:
\[ 7x = 3010 \]

4. **Solve for \( x \):**
- To find the value of \( x \), divide both sides of the equation by 7:
\[ x = \frac{3010}{7} = 430 \]

5. **Calculate Each Share:**
- Now that we have \( x \), we can calculate the shares for A, B, and C:
- C's share: \( x = 430 \) rupees
- B's share: \( 2x = 2 \times 430 = 860 \) rupees
- A's share: \( 4x = 4 \times 430 = 1720 \) rupees

6. **Final Shares:**
- Therefore, the final distribution is:
- A gets Rs. 1720
- B gets Rs. 860
- C gets Rs. 430

### Summary of Shares:
- A's share: Rs. 1720
- B's share: Rs. 860
- C's share: Rs. 430