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Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is
  • a)
    Rs 200
  • b)
    Rs 300
  • c)
    Rs 400
  • d)
    Rs 500
Correct answer is option 'C'. Can you explain this answer?
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Rs. 700 is divided among A, B, C so that A receives half as much as B ...
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Rs. 700 is divided among A, B, C so that A receives half as much as B ...
Given: Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C.

Let's assume that C's share is x. Then we can write:

- B's share = 2A (A receives half as much as B)
- C's share = 2B (B receives half as much as C)
- A + 2A + 2B = 700 (the sum of their shares is 700)

Simplifying the above equation, we get:

- 3A + 2B = 700
- 3A + 4A = 700 (substituting 2A for B)
- 7A = 700
- A = Rs. 100

Using this value of A, we can find B and C's shares:

- B = 2A = Rs. 200
- C = 2B = Rs. 400

Therefore, C's share is Rs. 400 (option C is correct).
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