WBCS.LIVE practice question

Rs 1,875 is divided among A, B and C in such a way that A’s share is half of the combined share of B and C, and B’s share is one-fourth of the combined share of A and C. By what amount is C’s share more than that of A?

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. Rs 500
  2. Rs 225
  3. Rs 250
  4. Rs 200

Correct answer and explanation

Correct answer: Rs 250

Explanation: ✅ Correct Answer: C) Rs 250 📚 Explanation: The problem states $A = 1/2(B+C)$, meaning A gets 1/3 of the total, which is $1875 / 3 = 625$. Also, $B = 1/4(A+C)$, meaning B gets 1/5 of the total, which is $1875 / 5 = 375$. C's share is the remaining amount: $1875 - (625 + 375) = 875$. The difference between C's and A's share is $875 - 625 = \text{Rs } 250$.