Ram, Mohan and Sohan started a business with a total capital of Rs. 50000. Mohan invested Rs. 10000 less than Ram and Rs. 8000 more than Sohan. What is Mohan's share of profit in a total profit of Rs. 20000 ?
Answer & explanation
Correct answer: option 1
Let the income of Ram = x
Now according to the question,
Investment of Mohan = x - 10000
Investment of Sohan = x - 18000
Now the total investment = 50000
according to the question,
x + x - 10000 + x - 18000 = 50000
3x - 28000 = 50000
3x = 78000
x = 26000
Now the investment of Ram = 26000
Investment of Mohan = 26000 - 10000 = 16000
Investment of Sohan = 16000 - 8000 = 8000
Ratio of investment = 26000 : 16000 : 8000 = 13 : 8 : 4
Total profit = 20000
So, the profit of Sohan = \(\frac{20000}{25}\) × 8 = 6400