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
The correct answer is Option (1) → Rs. 6400
When partners invest for the same period, the profit is shared in the ratio of their capitals. Both conditions are given in terms of Mohan, so his capital \(M\) is taken as the unknown.
The capitals:
Ram has Rs. 10000 more than Mohan: \(M+10000\)
Sohan has Rs. 8000 less than Mohan: \(M-8000\)
Total: \((M+10000)+M+(M-8000)=50000\)
\(3M+2000=50000\), so \(M=16000\)
Ram Rs. 26000, Mohan Rs. 16000, Sohan Rs. 8000
Mohan’s share of the profit:
Ratio of capitals \(=26000:16000:8000=13:8:4\)
Mohan’s share \(\displaystyle =\frac{8}{25}\times20000=\) Rs. 6400