Question : A is a working partner and B is a sleeping partner in a business. A invested Rs. 30,000 and B invested Rs. 50,000. A receives 20% of the profit for managing the business and the rest is divided in proportion to their capital. What does B get out of the profit of Rs. 10,000?
Option 1: Rs. 5,500
Option 2: Rs. 5,000
Option 3: Rs. 4,500
Option 4: Rs. 4,000
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Correct Answer: Rs. 5,000
Solution : A receives 20% of the total profit for managing the business. A gets 20% of Rs. 10,000 = Rs. 2,000 The remaining profit = Rs. 10,000 – Rs. 2,000 = Rs. 8,000 This remaining profit is divided in proportion to their capital. The total capital invested = Rs. 30,000 + 50,000 = Rs. 80,000 So, B's share of the remaining profit = $\frac{50,000}{80,000}$ × 8,000 = Rs. 5,000 Hence, the correct answer is Rs. 5,000.
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