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 ?

Rs. 6400

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