Question : Anuj started a business by investing Rs. 30,000, and after 6 months Ajay joined him with a capital of Rs. 45,000. After another 3 months, Ankit joined him with a capital of Rs, 60,000. At the end of the year, profit is Rs.18,000. Find the share of Anuj in the profit.
Option 1: Rs. 6,000
Option 2: Rs. 12,000
Option 3: Rs. 8,000
Option 4: Rs. 10,000
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Correct Answer: Rs. 8,000
Solution : According to the question, Total profit = Rs. 18000 Anuj invested Rs. 30,000 for 12 months. Ajay invested Rs. 45,000 for 6 months. And, Ankit invested Rs, 60,000 for 3 months. Since profit is directly proportional to capital invested and the time duration of investment, The ratio of profits of Anuj, Ajay, and Ankit respectively = 30000 × 12 : 45000 × 6 : 60000 × 3 = 4 : 3 : 2 So, the share of Anuj in profit = $18000\times \frac{4}{9}=8000$ Hence, the correct answer is Rs. 8,000.
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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 3: Rs. 15,000
Option 4: Rs. 9,000
Question : At the beginning of a partnership business, the capital of B was $\frac{3}{2}$ times that of A. After 8 months B withdrew $\frac{1}{2}$th of his capital and after 10 months A withdrew $\frac{1}{4}$th of his capital. At the end of the year, if the profit incurred is Rs. 53,000, find the amount received by A.
Option 1: Rs. 30,800
Option 2: Rs. 32,000
Option 3: Rs. 30,000
Option 4: Rs. 23,000
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
Question : A invests Rs. 64,000 in a business. After a few months, B joined him with Rs. 48,000. At the end of the year, the total profit was divided between them in the ratio 2 : 1. After how many months did B join?
Option 1: 8
Option 2: 4
Option 3: 6
Option 4: 7
Question : Rohit started a business with Rs. 75000 and after some months Simaran joined him with Rs. 60000. If the profit at the end of the year is divided in the ratio 3 : 1, then after how many months did Simran join Rohit?
Option 1: 7
Option 2: 6
Option 3: 8
Option 4: 4
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