Q.In a joint business venture, Samir, Idrish, and Anthony invested ₹4000, ₹5000, and ₹6000 respectively. After 4 months, Anthony withdrew half of his capital. At the end of the year, the total profit was ₹3900. Determine how much profit each person will receive.

Anthony's half capital = \(6000 \times \frac{1}{2}\) = ₹3000 The investment ratios of Samir, Idrish, and Anthony: = \(4000 \times 12 : 5000 \times 12 : 6000 \times 4 + (6000 - 3000) \times (12 - 4)\) = \(48000 : 60000 : 24000 + 24000\) = \(48000 : 60000 : 48000\) = \(4 : 5 : 4\) = \(\frac{4}{13} : \frac{5}{13} : \frac{4}{13}\) [Since \(4 + 5 + 4 = 13\)] ∴ At the end of the year, the profit share will be: - Samir gets \(\frac{4}{13}\) of ₹3900 = ₹1200 - Idrish gets \(\frac{5}{13}\) of ₹3900 = ₹1500 - Anthony gets \(\frac{4}{13}\) of ₹3900 = ₹1200
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