Question : X, Y, and Z invested Rs.4,000, Rs. 6,000, and Rs. 8,000 respectively in a business. They invested the money for 3, 2, and 4 years respectively. If the total profit is Rs. 56,000, then what is the share of Y in the profit?
Option 1: Rs. 18,000
Option 2: Rs. 12,000
Option 3: Rs. 15,000
Option 4: Rs. 9,000
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Correct Answer: Rs. 12,000
Solution : Given that investment by X, Y, and Z = Rs. 4,000, Rs. 6,000, and Rs. 8,000 respectively The period they invested for 3, 2, and 4 years respectively. Total profit = Rs. 56000 Profit of X : Profit of Y : Profit of Z $= 4000 × 3: 6000 × 2: 8000 × 4$ ⇒ Profit of X : Profit of Y : Profit of Z $= 3: 3: 8$ ⇒ Y's share $= \small\frac{\text{Profit of Y}}{\text{Total Profit}} × 56000$ ⇒ Y's share $= \frac{3}{14}× 56000 =12000$ Hence, the correct answer is Rs. 12,000.
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