Question : Rahul and Raman started a business by investing Rs. 16,000 and Rs. 12,000 respectively. After 4 months, Rahul left the business and Mohan joined the business by investing Rs. 20,000. At the end of the year, there was a profit of Rs. 46,000. What will be the share of Mohan in the profit?
Option 1: Rs. 28,700
Option 2: Rs. 20,000
Option 3: Rs. 36,800
Option 4: Rs. 23,400
Correct Answer: Rs. 20,000
Solution :
The profit ratio is directly proportional to the product of investment and time.
The ratio of share of Rahul, Raman, and Mohan = the ratio of their profit
$= (16000\times 4): (12000\times 12):(20000\times 8)$
$= (4\times 1): (3\times 3):(5\times 2)$
$=4:9:10$
The share of Mohan in the profit = $\frac{10}{4+9+10}\times 46000$
$= \frac{10}{23}\times 46000=$ Rs. 20,000
Hence, the correct answer is Rs. 20,000.
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