Question
A, B, and C start a business with investments of
₹12,000, ₹18,000, and ₹24,000 respectively. After 6 months, A withdraws ₹6,000, B adds ₹6,000, and C adds ₹12,000. At the end of the year, the total profit is ₹36,000. What is C's share in the profit?Solution
A's investment for 6 months = ₹12,000 × 6 = ₹72,000. B's investment for 6 months = ₹18,000 × 6 = ₹108,000. C's investment for 6 months = ₹24,000 × 6 = ₹144,000. After 6 months: A’s new investment = ₹6,000 × 6 = ₹36,000. B’s new investment = ₹24,000 × 6 = ₹144,000. C’s new investment = ₹36,000 × 6 = ₹216,000. A’s total investment = ₹36,000 + ₹72,000. = ₹108,000. B’s total investment = ₹144,000 + ₹108,000. = ₹252,000. C’s total investment = ₹216,000 + ₹144,000 = ₹360,000 C’s share in the profit = ₹36,000 × (360,000 / 720,000) = ₹18,000. Correct Option: d) ₹18,000
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