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A, B, C subscribe ₹50,000 in total. A invests ₹4,000 more than B, and B invests ₹5,000 more than C. If the total profit is ₹35,000, how much does A receive?

Difficulty: Easy

Correct Answer: ₹14,700

Explanation:

Problem restatement
Find each person's capital from the given differences and the total capital, then allocate profit proportional to capital (assuming equal time).


Given data

  • Let C = x ⇒ B = x + 5,000 ⇒ A = x + 9,000.
  • A + B + C = 50,000.
  • Total profit = ₹35,000.

Step-by-step calculation
x + (x + 5,000) + (x + 9,000) = 50,000 3x + 14,000 = 50,000 ⇒ x = 12,000 C = 12,000,   B = 17,000,   A = 21,000 A's share = (21,000/50,000) × 35,000 = ₹14,700


Verification
Shares sum correctly if computed similarly for B and C.


Final Answer
₹14,700

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