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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